%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % % BibTeX file maintained by the combinatorics group at the % % Instituto de Matematica e Estatistica, Universidade de Sao % % Paulo, under the project % % % % "Structural and Algorithmic Aspects of Combinatorial % % Objects," % % % % funded by FAPESP (Proc. FAPESP no. 96/04505--2). Comments, % % corrections and additions are welcome. % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % % Journals % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @String{ADM = "Annals of Discrete Mathematics"} @String{AJM = "American Journal of Mathematics"} @String{AMASH = "Acta Mathematica Academiae Scientiarum Hungaricae"} @String{AMS = "American Mathematical Society"} @String{BAMS = "Bulletin of the American Mathematical Society"} @String{BLMS = "Bulletin London Mathematical Society"} @String{CJM = "Canadian Journal of Mathematics"} @String{CMB = "Canadian Mathematics Bulletin"} @String{CMSJB = "Colloquia Mathematica Societatis J\'anos Bolyai"} @String{CPC = "Combinatorics, Probability, and Computing"} @String{Comb = "Combinatorica"} @string{CMUC = {Commentationes Mathematicae Universitatis Carolinae}} @String{DAM = "Discrete Applied Mathematics"} @String{DCG = "Discrete and Computational Geometry"} @String{DM = "Discrete Mathematics"} @string{DMA = {Discrete Mathematics and Applications}} @String{EJC = "European Journal Combinatorics"} @String{GC = "Graphs and Combinatorics"} @String{IC = {Information and Computation}} @String{IJM = "Israel Journal of Mathematics"} @String{IPL = "Information Processing Letters"} @String{JA = "Journal of Algorithms"} @String{JACM = "Journal of the Association for Computing Machinery"} @String{JAMS = "Journal of the American Mathematical Society"} @String{JCT = "Journal of Combinatorial Theory"} @String{JCTA = "Journal of Combinatorial Theory, Series A"} @String{JCTB = "Journal of Combinatorial Theory, Series B"} @String{JCSS = "Journal of Computer and and System Science"} @String{JGT = "Journal of Graph Theory"} @String{JLMS = "Journal of the London Mathematical Society"} @string{JSP = {Journal of Statistical Physics}} @String{LAIA = "Linear Algebra and Its Applications"} @String{MOR = "Mathematics of Operations Research"} @String{MP = "Mathematical Programming"} @String{MPCPS = "Mathematical Proceedings of the Cambridge Philosophical Society"} @String{MS = "Management Science"} @String{Net = "Networks"} @String{OR = "Operations Research"} @String{ORL = "Operations Research Letters"} @String{PAMS = "Proceedings of the American Mathematical Society"} @String{PCPS = "Proceedings of the Cambridge Philosophical Society"} @String{PLMS = "Proceedings of the London Mathematical Society"} @String{PMH = "Periodica Mathematics Hungar."} @String{RSA = "Random Structures and Algorithms"} @string{Resenhas = {Resenhas IME--USP}} @String{SIAMJC = "SIAM Journal on Computing"} @String{SIAMJADM = "SIAM Journal of Algebraic and Discrete Methods"} @string{SIAMDM = {SIAM Journal on Discrete Mathematics}} @String{SIAMJO = "SIAM Journal on Optimization"} @String{SSMH = "Studia Scientiarum Mathematicarum Hungarica"} @String{TAMS = "Transactions of the American Mathematical Society"} % % Authors % @String{Aj = "Ajtai, M."} @String{Al = "Alon, N."} @String{BB = "Bollob\'as, B."} @String{Be = "Beck, J."} @String{Chung = "Chung, F. R. K."} @String{Er = "Erd{\H o}s, P."} @String{Fr = "Frankl, P."} @String{Fu = "F{\"u}redi, Z."} @String{Gra = "Graham, R. L."} @String{Gro = "Gr{\"o}tschel, M."} @String{Ka = "Katona, G. O. H."} @String{Kl = "Kleitman, D. J."} @String{Ko = "Koml\'os, J."} @String{Lo = "Lov\'asz, L."} @String{Ne = "Ne\v{s}et\v{r}il, J."} @String{Po = "P\'osa, L."} @String{Ro = "R{\"o}dl, V."} @String{Sey = "Seymour, P."} @String{Sh = "Shearer, J. B."} @String{Si = "Simonovits, M."} @String{So = "S\'os, V. T."} @String{Sp = "Spencer, J."} @String{Sz = "Szemer\'edi, E."} @String{Tu = "Tuza, Zs."} @String{Tur = "Tur\'an, P."} @String{Tutte = "Tutte, W. T."} %%%%%% AAAA @Book{AhoHopUll, author = "Aho, A. V. and Hopcroft, J. E. and Ullman, J. D.", title = "The Design and Analysis of Computer Algorithms", publisher = "Addison-Wesley", year = 1974, address = "Reading" } @Article{AKSz, author = Aj # " and " # Ko # " and " # Sz, title = "A note on {R}amsey numbers", journal = JCTA, year = 1980, volume = 29, pages = "354--360" } @Article{AKPSSz:OLD, author = Aj # " and " # Ko # " and Pintz, J. and " # Sp # " and " # Sz, title = "Extremal uncrowded hypergraphs", journal = JCTA, year = 1982, volume = 32, pages = "321--335" } @article {AKPSSz, AUTHOR = {Ajtai, M. and Koml{\'o}s, J. and Pintz, J. and Spencer, J. and Szemer{\'e}di, E.}, TITLE = {Extremal uncrowded hypergraphs}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {32}, YEAR = {1982}, NUMBER = {3}, PAGES = {321--335}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05C65}, MRNUMBER = {MR657047 (83i:05056)}, MRREVIEWER = {F. Sterboul}, DOI = {10.1016/0097-3165(82)90049-8}, URL = {http://dx.doi.org/10.1016/0097-3165(82)90049-8}, } @Article{alon86, author = Al, title = "The number of polytopes, configurations and real matroids", journal = "Mathematika", year = 1986, volume = 33, number = 1, pages = "62--71" } @InProceedings{alon85:_expan, author = {Alon, N.}, title = {Expanders, sorting in rounds and superconcentrators of limited depth}, booktitle = {Proceedings of the 17th Annual ACM Symposium on the Theory of Computing (STOC 85)}, pages = {98--102}, year = 1985 } @Article{alon86:_eigen_ramsey, author = {Alon, N.}, title = {Eigenvalues, geometric expanders, sorting in rounds, and {R}amsey theory}, journal = {Combinatorica}, fjournal = {Combinatorica. An International Journal of the J\'anos Bolyai Mathematical Society}, volume = 6, year = 1986, number = 3, pages = {207--219}, issn = {0209-9683}, coden = {COMBDI}, mrclass = {05C55 (05B05 68R10)}, mrnumber = {88g:05090}, mrrevr = {Pavol Hell}, } @Article{alon86:_eigen, AUTHOR = {Alon, N.}, TITLE = {Eigenvalues and expanders}, NOTE = {Theory of computing (Singer Island, Fla., 1984)}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = 6, YEAR = 1986, NUMBER = 2, PAGES = {83--96}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C50}, MRNUMBER = {88e:05077}, MRREVIEWER = {Claude Benzaken}, } @article {AllesPoljak89, AUTHOR = {Alles, Peter and Poljak, Svatopluk}, TITLE = {Long induced paths and cycles in {K}neser graphs}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = {5}, YEAR = {1989}, NUMBER = {4}, PAGES = {303--306}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C38}, MRNUMBER = {90m:05076}, MRREVIEWER = {C. St. J. A. Nash-Williams}, } @Article{alon90, author = Al, title = "Ramsey graphs cannot be defined by real polynomials", journal = JGT, year = 1990, volume = 14, number = 6, pages = "651--661" } @Article{alon90:_trans, AUTHOR = {Alon, Noga}, TITLE = {Transversal numbers of uniform hypergraphs}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = 6, YEAR = 1990, NUMBER = 1, PAGES = {1--4}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C65 (05D15)}, MRNUMBER = {92b:05061}, MRREVIEWER = {Zbigniew Palka}, } @Article{Alon96Bipartite, author = {Alon, Noga}, title = {Bipartite subgraphs}, journal = {Combinatorica}, fjournal = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, volume = 16, year = 1996, number = 3, pages = {301--311}, issn = {0209-9683}, coden = {COMBDI}, mrclass = {05C35}, mrnumber = {97h:05081}, mrrevr = {Andr{\'a}s Gy{\'a}rf{\'a}s}, } @Article{AFL, author = "Alon, N. and Frankl, P. and Lov{\'a}sz, L.", title = "The chromatic number of {K}neser hypergraphs", journal = TAMS, year = 1986, volume = 298, pages = "359--370" } @Article{breed:AST, author = {Alon, N. and Seymour, P. and Thomas, R.}, title = {Planar separators}, journal = SIAMDM, year = 1994, volume = 7, pages = {184--193} } @InProceedings{breed:AST2, author = {Alon, N. and Seymour, P. and Thomas, R.}, title = {A separator theorem for graphs with an excluded minor and its applications}, booktitle = {Proceedings of the 22nd ACM STOC}, year = 1990, publisher = {ACM Press}, address = {New York}, pages = {293--299} } @book {alon92, AUTHOR = {Alon, Noga and Spencer, Joel H.}, TITLE = {The probabilistic method}, NOTE = {With an appendix by {P}aul {E}rd{\H o}s, A {W}iley-{I}nterscience {P}ublication}, PUBLISHER = {John Wiley \& Sons Inc.}, ADDRESS = {New York}, YEAR = 1992, PAGES = {xvi+254}, ISBN = {0-471-53588-5}, MRCLASS = {60-02 (05C80 11K99 60C05)}, MRNUMBER = {93h:60002}, MRREVIEWER = {Bert Fristedt}, } @book {AS, AUTHOR = {Alon, Noga and Spencer, Joel H.}, TITLE = {The probabilistic method}, NOTE = {With an appendix by {P}aul {E}rd{\H o}s, A {W}iley-{I}nterscience {P}ublication}, PUBLISHER = {John Wiley \& Sons Inc.}, ADDRESS = {New York}, YEAR = 1992, PAGES = {xvi+254}, ISBN = {0-471-53588-5}, MRCLASS = {60-02 (05C80 11K99 60C05)}, MRNUMBER = {93h:60002}, MRREVIEWER = {Bert Fristedt}, } @book {alon00, AUTHOR = {Alon, Noga and Spencer, Joel H.}, TITLE = {The probabilistic method}, SERIES = {Wiley-Interscience Series in Discrete Mathematics and Optimization}, EDITION = {Second}, NOTE = {With an appendix on the life and work of {P}aul {E}rd{\H o}s}, PUBLISHER = {Wiley-Interscience [John Wiley \& Sons]}, ADDRESS = {New York}, YEAR = 2000, PAGES = {xviii+301}, ISBN = {0-471-37046-0}, MRCLASS = {60-02 (05C80 60C05 60F99 60G42)}, MRNUMBER = {2003f:60003}, MRREVIEWER = {Bert Fristedt}, } @Book{AS:_OLD, author = Al # " and " # Sp, title = "The Probabilistic Method", publisher = "John Wiley \& Sons", year = 1992, address = "New York", series = "Wiley-Interscience Series in Discrete Mathematics" } @Article{alontarsi, author = {Alon, N. and Tarsi, M.}, title = {Colorings and orientations of graphs}, journal = Comb, year = 1992, volume = 12, number = 2, pages = {125--134}, } @article {alon94, AUTHOR = {Alon, N. and Duke, R. A. and Lefmann, H. and R{\"o}dl, V. and Yuster, R.}, TITLE = {The algorithmic aspects of the regularity lemma}, JOURNAL = {J. Algorithms}, FJOURNAL = {Journal of Algorithms}, VOLUME = 16, YEAR = 1994, NUMBER = 1, PAGES = {80--109}, ISSN = {0196-6774}, CODEN = {JOALDV}, MRCLASS = {05C85 (68Q25 68R10)}, MRNUMBER = {94j:05112}, MRREVIEWER = {Andrzej Ruci{\'n}ski}, } @InProceedings{AlonDLRY92, title = {The algorithmic aspects of the regularity lemma {\rm(}extended abstract{\rm)}}, author = {Alon, N. and Duke, R. A. and Lefmann, H. and R{\"o}dl, V. and Yuster, R.}, booktitle = {33rd Annual Symposium on Foundations of Computer Science}, pages = {473--481}, address = {Pittsburgh, Pennsylvania}, publisher = {IEEE Comput. Soc. Press}, year = 1992, } @Article{alon96:_yuster_JCTB, author = {Alon, Noga and Yuster, Raphael}, title = {${H}$-factors in dense graphs}, journal = JCTB, fjournal = {Journal of Combinatorial Theory. Series B}, volume = 66, year = 1996, number = 2, pages = {269--282}, issn = {0095-8956}, coden = {JCBTB8}, mrclass = {05C70}, mrnumber = {97a:05162}, mrrevr = {Martin Ba{\v{c}}a}, } @Article{alon92:_yuster_GC, author = {Alon, Noga and Yuster, Raphael}, title = {Almost ${H}$-factors in dense graphs}, journal = {Graphs and Combinatorics}, fjournal = {Graphs and Combinatorics}, volume = 8, year = 1992, number = 2, pages = {95--102}, issn = {0911-0119}, coden = {GRCOE5}, mrclass = {05C70}, mrnumber = {93g:05109}, mrrevr = {Ian Anderson}, } @Article{alon99:_refin_k, author = {Alon, Noga and Fischer, Eldar}, title = {Refining the graph density condition for the existence of almost ${K}$-factors}, journal = {Ars Combinatoria}, volume = 52, year = 1999, pages = {296--308}, issn = {0381-7032}, coden = {ACOMDN}, mrclass = {05C70}, mrnumber = {1 705 658}, } @InProceedings{alon99:_effic, author = {N. Alon and E. Fischer and M. Krivelevich and M. Szegedy}, title = {Efficient testing of large graphs {\rm(}extended abstract{\rm)}}, booktitle = {40th Annual Symposium on Foundations of Computer Science}, pages = {656--666}, year = 1999, address = {New York City, NY}, publisher = {IEEE Comput. Soc. Press} } @Unpublished{alon99:_effic_full, author = {N. Alon and E. Fischer and M. Krivelevich and M. Szegedy}, title = {Efficient testing of large graphs}, note = {submitted, 22pp.}, year = 1999 } @Article{alon00:_effic_full, author = {N. Alon and E. Fischer and M. Krivelevich and M. Szegedy}, title = {Efficient testing of large graphs}, journal = {Combinatorica}, year = 2000, volume = 20, number = 4, pages = {451--476} } @book {graham95:_handb, TITLE = {Handbook of combinatorics. {V}ol. 1,\ 2}, EDITOR = {Graham, R. L. and Gr{\"o}tschel, M. and Lov{\'a}sz, L.}, PUBLISHER = {Elsevier Science B.V.}, ADDRESS = {Amsterdam}, YEAR = 1995, PAGES = {Vol.\ I: cii+1018 pp.; Vol.\ II: pp.\ i--cii and 1019--2198}, ISBN = {0-444-88002-X}, MRCLASS = {05-06 (00A20 05-00)}, MRNUMBER = {96h:05001}, } @article {alon99:_combin_nulls, AUTHOR = {Alon, Noga}, TITLE = {Combinatorial {N}ullstellensatz}, NOTE = {Recent trends in combinatorics (M\'atrah\'aza, 1995)}, JOURNAL = {Combin. Probab. Comput.}, FJOURNAL = {Combinatorics, Probability and Computing}, VOLUME = 8, YEAR = 1999, NUMBER = {1-2}, PAGES = {7--29}, ISSN = {0963-5483}, MRCLASS = {05-XX (05C15 12D10)}, MRNUMBER = {2000b:05001}, MRREVIEWER = {Theresa P. Vaughan}, } @incollection {alon95, AUTHOR = {Alon, Noga}, TITLE = {Tools from higher algebra}, BOOKTITLE = {Handbook of combinatorics, Vol.\ 1,\ 2}, PAGES = {1749--1783}, PUBLISHER = {Elsevier}, ADDRESS = {Amsterdam}, YEAR = {1995}, MRCLASS = {05-02 (05C25)}, MRNUMBER = {97a:05004}, MRREVIEWER = {Brian Alspach}, } @InCollection{alon95:_OLD, author = Al, title = "Tools from Higher Algebra", booktitle = "Handbook of Combinatorics", publisher = "North-Holland", year = 1995, editor = Gra # " and " # Gro # " and " # Lo, address = "Amsterdam", pages = "1749--1784" } @InProceedings{alon00:_univer, author = {Alon, N. and Capalbo, M. R. and Kohayakawa, Y. and R\"odl, V. and Ruci\'nski, A. and Szemer\'edi, E.}, title = {Universality and tolerance {\rm(}extended abstract{\rm)}}, booktitle = {Proceedings of the 41st IEEE Annual Symposium on Foundations of Computer Science (FOCS 2000)}, year = 2000, pages = {14--21} } @Article{alon00:_univer_full, author = {Alon, N. and Capalbo, M. R. and Kohayakawa, Y. and R\"odl, V. and Ruci\'nski, A. and Szemer\'edi, E.}, title = {Universality and tolerance}, journal = {}, year = {}, note = {in preparation, 2001} } @InProceedings{alon01:_near_univer_graph_graph_bound_degrees, author = {Alon, N. and Capalbo, M. R. and Kohayakawa, Y. and R\"odl, V. and Ruci\'nski, A. and Szemer\'edi, E.}, title = {Near-optimum Universal Graphs for Graphs with Bounded Degrees {\rm(}extended abstract{\rm)}}, booktitle = {Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques}, pages = {170--180}, year = 2001, editor = {M. Goemans and K. Jansen abd J.D.P. Rolim abd L. Trevisan}, series = {Lecture Notes in Computer Science, 2129}, publisher = {Springer-Verlag}, annote = {4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001 Berkeley, CA, USA, August 18-20, 2001} } @Article{alon88:_explic, AUTHOR = {Alon, N. and Chung, F. R. K.}, TITLE = {Explicit construction of linear sized tolerant networks}, BOOKTITLE = {Proceedings of the First Japan Conference on Graph Theory and Applications (Hakone, 1986)}, JOURNAL = {Discrete Mathematics}, FJOURNAL = {Discrete Mathematics}, VOLUME = 72, YEAR = 1988, NUMBER = {1-3}, PAGES = {15--19}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05C38 (05C35 90B10)}, MRNUMBER = {90f:05080}, } @article {alon09:_charac_testab_gr_proper, author = {Alon, Noga and Fischer, Eldar and Newman, Ilan and Shapira, Asaf}, title = {A combinatorial characterization of the testable graph properties: it's all about regularity}, journal = {SIAM J. Comput.}, FJOURNAL = {SIAM Journal on Computing}, VOLUME = 39, year = 2009, NUMBER = 1, PAGES = {143--167}, ISSN = {0097-5397}, MRCLASS = {68R10 (05C85 05D99 68W20 68W25)}, MRNUMBER = {2506522 (2011b:68185)}, MRREVIEWER = {Klas Markstr{\"o}m}, DOI = {10.1137/060667177}, URL = {http://dx.doi.org/10.1137/060667177}, } @incollection {MR2277151, AUTHOR = {Alon, Noga and Fischer, Eldar and Newman, Ilan and Shapira, Asaf}, TITLE = {A combinatorial characterization of the testable graph properties: it's all about regularity}, BOOKTITLE = {S{TOC}'06: {P}roceedings of the 38th {A}nnual {ACM} {S}ymposium on {T}heory of {C}omputing}, PAGES = {251--260}, PUBLISHER = {ACM}, ADDRESS = {New York}, YEAR = {2006}, MRCLASS = {68R10 (05C85 68W20)}, MRNUMBER = {2277151 (2007h:68150)}, } @Article{Alek, author = "Alekseev, V. E.", title = "On the entropy values of hereditary classes of graphs", journal = DMA, year = 1993, volume = 3, pages = "191--199" } @Article{AlonLocalLemma, author = Al, title = {A parallel algorithmic version of the local lemma}, journal = RSA, year = {1991}, volume = {2}, number = {4}, pages = {367--378}, } @Article{AlonkWise, author = Al # { and Goldreich, O. and H{\aa}stad, J. and Peralta, R.}, title = {Simple constructions of almost {$k$}-wise independent random variables}, journal = RSA, year = {1992}, volume = {3}, number = {3}, pages = {289--304}, } @Article{alon_hajnal91:_ramsey, AUTHOR = {Alon, N. and Hajnal, A.}, TITLE = {Ramsey graphs contain many distinct induced subgraphs}, JOURNAL = {Graphs and Combinatorics}, VOLUME = 7, YEAR = 1991, NUMBER = 1, PAGES = {1--6}, ISSN = {0911-0119}, CODEN = {GRCOE5}, note = {MR92a:05089} } @Article{AlonkWiseAdd, author = Al # { and Goldreich, O. and H{\aa}stad, J. and Peralta, R.}, title = {Addendum to: ``{S}imple constructions of almost {$k$}-wise independent random variables''}, journal = RSA, year = {1993}, volume = {4}, number = {1}, pages = {119--120}, } @InProceedings{ALR, author = Al # " and Lefmann, H. and " # Ro, title = "On an anti-{R}amsey type result", booktitle = "Sets, Graphs and Numbers", year = 1991, organization = CMSJB, volume = 60, publisher = "North-Holland", pages = "9--22" } @Article{ADDJS, author = "Alth{\"o}fer, I. and Das, G. and Dobkin, D. and Joseph, D. and Soares, J.", title = "On sparse spanners of weighted graphs", journal = DCG, year = 1993, volume = 9, pages = "81--100" } @Article{AndersondeBTK1967, author = {Anderson, Ian}, title = {An application of a theorem of de {B}ruijn, {T}engbergen, and {K}ruyswijk}, journal = JCT, volume = 3, year = 1967, pages = {43--47}, note = {MR36:2583} } @Article{AndersonPrimitive, author = {Anderson, I.}, title = {On primitive sequences}, journal = JLMS, volume = 42, year = 1967, pages = {137--148}, note = {MR35:147} } @Article{Aneja80, author = "Aneja, Y. P.", title = "An integer linear programming approach to the {S}teiner problem in graphs", journal = Net, year = 1980, volume = 10, pages = "167--178" , } @TechReport{ABCC95, author = "Applegate, D. and Bixby, R. E. and Chv\'atal, V. and Cook W. ", title = "Finding cuts in the {TSP}", institution = "???", year = 1994 } @article {arora98:_proof_verif, author = {Arora, Sanjeev and Lund, Carsten and Motwani, Rajeev and Sudan, Madhu and Szegedy, Mario}, title = {Proof verification and the hardness of approximation problems}, journal = {J. ACM}, FJOURNAL = {Journal of the ACM}, VOLUME = 45, year = 1998, NUMBER = 3, PAGES = {501--555}, ISSN = {0004-5411}, MRCLASS = {68Q15 (03B35 03D15 68Q25)}, MRNUMBER = {1639346 (99d:68077b)}, MRREVIEWER = {Oded Goldreich}, DOI = {10.1145/278298.278306}, URL = {http://dx.doi.org/10.1145/278298.278306}, } @article {arora98:_PCP, author = {Arora, Sanjeev and Safra, Shmuel}, title = {Probabilistic checking of proofs: a new characterization of {NP}}, journal = {J. ACM}, FJOURNAL = {Journal of the ACM}, VOLUME = 45, year = 1998, NUMBER = 1, PAGES = {70--122}, ISSN = {0004-5411}, MRCLASS = {68Q15 (03B35 03D15 68Q25)}, MRNUMBER = {1614328 (99d:68077a)}, MRREVIEWER = {Oded Goldreich}, DOI = {10.1145/273865.273901}, URL = {http://dx.doi.org/10.1145/273865.273901}, } @InProceedings{ALMSSz, author = "Arora, S. and Lund, C. and Motwani, R. and Sudan, M. and Szegedy, M.", title = "Proof verification and hardness of approximation problems", booktitle = "Proc. 33rd Ann. IEEE Symp. on Foundations of Computer Science", year = 1992, organization = "IEEE", pages = "14--23" } @Article{Arnborg85BIT, author = {Arnborg, S.}, title = {Efficient algorithms for combinatorial problems on graphs with bounded decomposability---a survey}, journal = {BIT, Numerical Mathematics}, year = 1985, volume = 25, number = 1, pages = {2--35} } @Article{breed:ALS, author = {Arnborg, S. and Lagergren, J. and Seese, D.}, title = {Easy problems for tree-decomposable graphs}, journal = JA, year = 1991, volume = 12, pages = {308--340} } @Article{breed:ACP, author = {Arnborg, S. and Corneil, D. and Proskurowski, A.}, title = {Complexity of finding embeddings in a $k$-tree}, journal = SIAMJADM, year = 1987, volume = 8, pages = {277--284} } @InProceedings{breed:ACPS, author = {Arnborg, S and Courcelle, B. and Proskurowski, A. and Seese, D.}, title = {An Algebraic Theory of Graph Reduction}, booktitle = {Proceedings of the 18th {ICALP}}, series = {Lecture Notes on Computer Science}, year = 1991, publisher = {Springer-Verlag}, pages = {70--83} } @Article{breed:AP, author = {Arnborg, S. and Proskurowski, A.}, title = {Linear time algorithms for {NP}-hard problems restricted to partial $k$-trees}, journal = DAM, year = 1989, volume = 23, pages = {11--24} } @Article{Azuma, author = {Azuma, K.}, title = {Weighted sums of certain dependent random variables}, journal = {T\^ohoku Math. J.}, year = 1967, volume = 19, number = 2, pages = {357--367}, annote = {MR36\#4623} } %%%%%% BBBB @Article{babai85:_ramsey, AUTHOR = {Babai, L{\'a}szl{\'o}}, TITLE = {An anti-{R}amsey theorem}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = 1, YEAR = 1985, NUMBER = 1, PAGES = {23--28}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C55 (43A46)}, MRNUMBER = {86g:05063}, MRREVIEWER = {J. Spencer}, } @InProceedings{BaPCP, author = {Babai, L.}, title = {Transparent proofs and limits to approximation}, booktitle = {First European Congress of Mathematics, Paris, 1992}, volume = {I}, number = 119, series = {Progr. 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Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = 27, YEAR = 1995, NUMBER = 5, PAGES = {417--424}, ISSN = {0024-6093}, CODEN = {LMSBBT}, MRCLASS = {52A20 (05C65)}, MRNUMBER = {96e:52006}, MRREVIEWER = {J. E. Graver}, } @misc{BBu, author = BB, note = "personal communication", year = 1992, month = nov } @InProceedings{BKBHam, author = "Bollob\'as, B. and Kohayakawa, Y.", title = "The hitting time of {H}amilton cycles in random bipartite graphs", editor = "Alavi, Y. and Chung, F. R. K. and Graham, R. L. and Hsu, D. F.", booktitle = "Graph Theory, Combinatorics, Algorithms, and Applications", publisher = "SIAM", address = "Philadelphia", year = "1991", pages = "26--41", annote = {MR\#92m:05166} } @article{BKLCube, author = "Bollob\'as, B. and Kohayakawa, Y. and {\L}uczak, T.", title = "The evolution of random subgraphs of the cube", journal = "Random Structures and Algorithms", volume = "3", year = "1992", pages = "55--90", annote = {MR\#92m:05167} } @article {bollobas92:_evol_cube, AUTHOR = {Bollob{\'a}s, B. and Kohayakawa, Y. and {\L}uczak, T.}, TITLE = {The evolution of random subgraphs of the cube}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = 3, YEAR = 1992, NUMBER = 1, PAGES = {55--90}, ISSN = {1042-9832}, MRCLASS = {05C80}, MRNUMBER = {MR1139488 (92m:05167)}, MRREVIEWER = {Andrzej Ruci{\'n}ski}, } @InProceedings{BKLBool, author = "Bollob\'as, B. and Kohayakawa, Y. and {\L}uczak, T.", title = "On the evolution of random {Boolean} functions", year = "1994", editor = "{Frankl}, P. and {F\"uredi}, Z. and {Katona}, G. and {Mikl\'os}, D.", booktitle = "Extremal Problems for Finite Sets {\rm(Visegr\'ad)}", series = "Bolyai Society Mathematical Studies", volume = 3, publisher = {J\'anos Bolyai Mathematical Society}, address = "Budapest", pages = "137--156", } @Article{BKErStone:_OLD, author = "Bollob\'as, B. and Kohayakawa, Y.", title = "An extension of the {E}rd{\H o}s--{S}tone theorem", journal = "Combinatorica", year = "1994", volume = "14", number = "3", pages = "279--286", annote = {MR\#96a:05079}, } @article {BKErStone, AUTHOR = {Bollob{\'a}s, B. and Kohayakawa, Y.}, TITLE = {An extension of the {E}rd{\H o}s-{S}tone theorem}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {14}, YEAR = {1994}, NUMBER = {3}, PAGES = {279--286}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C35}, MRNUMBER = {MR1305897 (96a:05079)}, MRREVIEWER = {{\'A}kos Seress}, } @article {bollobas94:_exten_of_ES, author = {Bollob{\'a}s, B. and Kohayakawa, Y.}, title = {An extension of the {E}rd{\H o}s-{S}tone theorem}, journal = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = 14, year = 1994, NUMBER = 3, PAGES = {279--286}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C35}, MRNUMBER = {MR1305897 (96a:05079)}, MRREVIEWER = {{\'A}kos Seress}, } @Article{BKPercHD, author = "Bollob\'as, B. and Kohayakawa, Y.", title = "Percolation in high dimensions", journal = "European Journal of Combinatorics", year = "1994", volume = "15", pages = "113--125", annote = {MR\#95c:60092} } @Article{BKLDiam, author = "Bollob\'as, B{\'e}la and Kohayakawa, Yoshiharu and {\L}uczak, Tomasz", title = "On the diameter and radius of random subgraphs of the cube", OPTcrossref = "", OPTkey = "", journal = "Random Structures and Algorithms", year = "1994", volume = "5", number = "5", pages = "627--648", OPTmonth = "", annote = "MR\#95j:05156", OPTannote = "" } @InProceedings{BKLRPerc, author = "Bollob\'as, B. and Kohayakawa, Y.", title = "A note on long-range percolation", OPTcrossref = "", OPTkey = "", editor = "Alavi, Y. and Schwenk, A. J.", volume = "1", OPTnumber = "", OPTseries = "", pages = "{97--113}", booktitle = "Graph Theory, Combinatorics, and Algorithms", year = "1995", OPTorganization = "", publisher = "Wiley", address = "New York", OPTmonth = "", annote = "CMP\#1~405~802", OPTannote = "" } @InCollection{BKRich, author = {Bollob\'as, B. and Kohayakawa, Y.}, title = {On {R}ichardson's model on the hypercube}, booktitle = {Combinatorics, Geometry and Probability}, publisher = {Cambridge University Press}, year = 1997, editor = {Bollob\'as, B. and Thomason, A.}, note = {To appear. ISBN 0~521~584728} } @Article{BKLConn, author = "Bollob\'as, B. and Kohayakawa, Y. and {\L}uczak, T.", title = "Connectivity properties of random subgraphs of the cube", OPTcrossref = "", OPTkey = "", journal = "Random Structures and Algorithms", year = "1995", volume = "6", number = "2--3", pages = "221--230", OPTmonth = "", annote = "MR\#96k:05178", OPTannote = "Received 8 Oct 1993; accepted 18 Aug 1994" } @InCollection{BT, AUTHOR = {Bollob{\'a}s, B{\'e}la and Thomason, Andrew}, TITLE = {Hereditary and monotone properties of graphs}, BOOKTITLE = {The mathematics of Paul Erd{\H o}s, II}, PAGES = {70--78}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = 1997, MRCLASS = {05C35 (05C30)}, MRNUMBER = {98a:05085}, MRREVIEWER = {Peter Mih{\'o}k}, } @Book{BondyMurty, author = "Bondy J. A. and Murty, U. S. 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T.}, title = {Some extremal problems on {$r$}-graphs}, booktitle = {New directions in the theory of graphs (Proc. Third Ann Arbor Conf., Univ. Michigan, Ann Arbor, Mich, 1971)}, year = 1973, publisher = {Academic Press}, address = {New York}, pages = {53--63}, annote = {50~\#4376} } @Article{BrownRodl, author = {Brown, J. I. and R\"odl, V.}, title = {A {R}amsey type problem concerning vertex colourings}, journal = JCTB, year = 1991, volume = 52, number = 1, pages = {45--52}, note = {MR92c:05108} } @InCollection{BurrNYAS, author = {Burr, S. A.}, title = {A survey of noncomplete {R}amsey theory for graphs}, booktitle = {Topics in graph theory (New York, 1977)}, publisher = {New York Academy of Sciences}, year = 1979, volume = 328, series = {Annals of the New York Academy of Sciences}, address = {New York}, pages = {58--75}, note = {MR81a:05047} } %%%%%% CCCC @Article{coppersmith90:_matrix, AUTHOR = {Coppersmith, Don and Winograd, Shmuel}, TITLE = {Matrix multiplication via arithmetic progressions}, JOURNAL = {J. Symbolic Comput.}, FJOURNAL = {Journal of Symbolic Computation}, VOLUME = 9, YEAR = 1990, NUMBER = 3, PAGES = {251--280}, ISSN = {0747-7171}, MRCLASS = {68Q25 (11Y16 15A30)}, MRNUMBER = {91i:68058}, MRREVR = {Werner Hartmann}, } @Article{coppersmith90:_matrix_Zentralblatt, author="Coppersmith, Don and Winograd, Shmuel", title="{Matrix multiplication via arithmetic progressions.}", sjournal="J. Symb. Comput.", journal = {Journal of Symbolic Computation}, volume=9, number=3, pages="251--280", year=1990, abstract="{A new method is presented for accelerating matrix multiplication asymptotically by a basic trilinear form which is not a matrix product. The method is based on Schoenhage's $\tau$-theorem, Strassen's construction, and the Salem-Spencer theorem. The first variant of construction gives a matrix exponent $\omega =2.404$. An improvement to of 2.388 is obtained by considering more terms and indices. Finally, some more complicated techniques offer a better estimate of 2.376. A combinatorial construction (whose realization is not guaranteed) is proposed which would yield $\omega =2$.}", reviewer="{O.Brudaru}", keywords="{asymptotical acceleration; matrix multiplication; trilinear form; matrix exponent}", classmath="{*65F30 Other matrix algorithms 65Y20 Complexity and performance of numerical algorithms}", } @Incollection{calinescu96:_findin, author = {C{\u{a}}linescu, Gruia and Fernandes, Cristina G.}, title = {Finding large planar subgraphs and large subgraphs of a given genus}, booktitle = {Computing and combinatorics (Hong Kong, 1996)}, pages = {152--161}, series = {Lecture Notes in Comput. Sci.}, volume = 1090, publisher = {Springer}, address = {Berlin}, year = 1996, annote = {MR98a:05053} } @InProceedings{calinescu96, author = {C{\u{a}}linescu, Gruia and Fernandes, Cristina G. and Finkler, Ulrich and Karloff, Howard}, title = {A better approximation algorithm for finding planar subgraphs}, booktitle = {Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (Atlanta, GA, 1996)}, pages = {16--25}, publisher = {ACM}, address = {New York}, year = 1996, annote = {MR96m:05184} } @Article{calinescu98, author = {C{\u{a}}linescu, Gruia and Fernandes, Cristina G. and Finkler, Ulrich and Karloff, Howard}, title = {A better approximation algorithm for finding planar subgraphs}, journal = {Journal of Algorithms}, year = 1998, volume = 27, pages = {269--302} } @Unpublished{calinescu_heavy, author = {C{\u{a}}linescu, Gruia and Fernandes, Cristina G. and Karloff, Howard and Zelikovski, A.}, title = {A new approximation algorithm for finding heavy planar subgraphs}, note = {submitted, 1997} } @PhdThesis{C82, author = {de~Caen, D.}, title = {On {T}ur\'an's Hypergraph Problem}, school = {University of Toronto}, year = 1982 } @MastersThesis{Carvalheiro, author = {Carvalheiro, F. 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O'Neil}, } @Book{erd74:_probab:Z, fullauthor="Erd{\H o}s, Paul and Spencer, Joel", author="Erd{\H o}s, P. and Spencer, J.", title={Probabilistic methods in combinatorics}, publisher={Akademiai Kiado}, address={Budapest}, note={106pp.}, year=1974, abstract="{One way to show the existence of an object with a property $P$ is by construction. Another way is to show that the probability that objects in some set have property $P$ is positive. For example, if the expected value of some integer-valued parameter $f(x)$ is less than one, then it follows that there exists an object $x$ for which $f(x)=0$. The purely probabilistic aspects of such arguments are often fairly simple; but obtaining estimates for the probabilities involved may or may not be so simple. This ``probabilistic method'' is important because in many different problems it has yielded results that are as good or better than have been obtained by other methods. This monograph is a collection of such applications to, among other things, sets with property $B$, subtournaments of a tournament, the chromatic number of a graph, asyummetric graphs, random graphs, Zarankiewicz's problem, and problems related to theorems of Ramsey, van der Waerden, and Turan.}", reviewer="{J.W.Moon}", classmath="{*05-XX Combinatorics 60C05 Combinatorial probability 05A99 Classical combinatorial problems 05Cxx Graph theory 05-02 Research monographs (combinatorics)}", } @Article{erdos81:_i, AUTHOR = {Erd{\H o}s, P.}, TITLE = {On the combinatorial problems which {I} would most like to see solved}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = 1, YEAR = 1981, NUMBER = 1, PAGES = {25--42}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05-02 (04A20)}, MRNUMBER = {82k:05001}, MRREVR = {L. C. Eggan}, } @Article{erdoes_rado50, AUTHOR = {Erd{\H o}s, P. and Rado, R.}, TITLE = {A combinatorial theorem}, JOURNAL = {J. London Math. Soc.}, VOLUME = 25, YEAR = 1950, PAGES = {249--255}, MRCLASS = {27.2X}, MRNUMBER = {12,322f}, MRREVR = {N. J. Fine}, } @Article{Egerv58, author = "Egerv\'ary, E.", title = "Bemerkungen zum {T}ransportproblem", journal = "MTW Mitteilungen", year = 1958, volume = 5, pages = "278--284" } @Article{fischer99:_cycle, author = {Fischer, Eldar}, title = {Cycle factors in dense graphs}, note = {16th {B}ritish {C}ombinatorial {C}onference ({L}ondon, 1997)}, journal = {Discrete Mathematics}, volume = {197/198}, year = 1999, pages = {309--323}, issn = {0012-365X}, coden = {DSMHA4}, mrclass = {05C70 (05C38)}, mrnumber = {99m:05123}, } @Article {ErdosExactlykPrimes, author = {Erd{\H o}s, P.}, title = {On the integers having exactly ${K}$ prime factors}, journal = {Ann. of Math. (2)}, volume = 49, year = 1948, pages = {53--66}, note = {MR9:333b} } @article {erdos64:_extrem_probls, author = {Erd{\H{o}}s, P.}, title = {On extremal problems of graphs and generalized graphs}, journal = {Israel J. Math.}, FJOURNAL = {Israel Journal of Mathematics}, VOLUME = 2, year = 1964, PAGES = {183--190}, ISSN = {0021-2172}, MRCLASS = {05.40}, MRNUMBER = {MR0183654 (32 \#1134)}, MRREVIEWER = {A. H. Stone}, } @article {E64, AUTHOR = {Erd{\H{o}}s, P.}, TITLE = {On extremal problems of graphs and generalized graphs}, JOURNAL = {Israel J. Math.}, FJOURNAL = {Israel Journal of Mathematics}, VOLUME = {2}, YEAR = {1964}, PAGES = {183--190}, ISSN = {0021-2172}, MRCLASS = {05.40}, MRNUMBER = {MR0183654 (32 \#1134)}, MRREVIEWER = {A. H. Stone}, } @Article{E64:_OLD, author = Er, title = {On extremal problems of graphs and generalized graphs}, journal = IJM, year = 1964, volume = 2, pages = {183--190}, annote = {MR32~\#1134} } @InProceedings{ErdosCambridge83, author = Er, title = {On some problems in graph theory, combinatorial analysis and combinatorial number theory}, booktitle = {Graph theory and combinatorics (Cambridge, 1983)}, editor = {Bollob\'as, B.}, year = 1984, publisher = {Academic Press}, address = {London, New York}, pages = {1--17}, annote = {MR\#86e:05001} } @InCollection{Erdos96Favourite, author = Er, title = {On some of my favourite theorems}, booktitle = {Combinatorics---{P}aul {E}rd{\H o}s is eighty, {\rm vol.~2 (Keszthely, 1993)}}, publisher = {J\'anos Bolyai Mathematical Society}, year = 1996, editor = {Mikl{\'o}s, D. and S{\'o}s, V. T. and Sz{\H o}nyi, T.}, volume = 2, series = {Bolyai Society Mathematical Studies}, address = {Budapest}, pages = {97--132} } @Article{ErdosRadoCanonical, author = {Erd{\H o}s, P. and Rado, R.}, title = {Combinatorial theorems on classifications of subsets of a given set}, journal = PLMS, year = 1952, volume = 2, number = 3, pages = {417--439}, } @Article{erd93:_ramsey, author = {Erd{\H o}s, P. and Faudree, R. J. and Rousseau, C. C. and Schelp, R. H.}, title = {Ramsey size linear graphs}, journal = CPC, year = 1993, volume = 2, number = 4, pages = {389--399} } @Article{erdos78:_ramsey, AUTHOR = {Erd{\H o}s, P. and Faudree, R. J. and Rousseau, C. C. and Schelp, R. H.}, TITLE = {The size {R}amsey number}, JOURNAL = {Periodica Mathematica Hungarica}, fJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = 9, YEAR = 1978, NUMBER = {2-2}, PAGES = {145--161}, ISSN = {0031-5303}, CODEN = {PMHGAW}, MRCLASS = {05C55}, MRNUMBER = {80h:05037}, MRREVR = {F. Harary}, } @Article{ErdosFranklRodl86, author = Er # { and } # Fr # { and } # Ro, title = {The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent}, journal = GC, year = 1986, volume = 2, number = 2, pages = {113--121} } @Article {ErSaSzPrimitive67, author = {Erd{\H o}s, P. and S{\'a}rk{\"o}zi, A. and Szemer{\'e}di, E.}, title = {On an extremal problem concerning primitive sequences}, journal = {J. London Math. Soc.}, volume = {42}, year = {1967}, pages = {484--488}, note = {MR36:1412}, } @InProceedings{erdos95maximal, author = {Erd{\H o}s, Paul and Suen, Stephen and Winkler, Peter}, title = {On the size of a random maximal graph}, booktitle = {Proceedings of the Sixth International Seminar on Random Graphs and Probabilistic Methods in Combinatorics and Computer Science, ``Random Graphs '93'' (Pozna\'n, 1993)}, journal = {Random Structures and Algorithms}, fjournal = {Random Structures \& Algorithms}, volume = 6, year = 1995, number = {2-3}, pages = {309--318}, ISSN = {1042-9832}, annote = {MR96h:05176} } @InCollection{EuclideanIII, AUTHOR = {Erd{\H{o}}s, P. and Graham, R. L. and Montgomery, P. and Rothschild, B. L. and Spencer, J. and Straus, E. G.}, TITLE = {Euclidean {R}amsey theorems. {I}{I}{I}}, BOOKTITLE = {Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erd\H os on his 60th birthday), Vol. I}, PAGES = {559--583. Colloq. Math. Soc. J\'anos Bolyai, Vol. 10}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = 1975, MRCLASS = {05C15}, MRNUMBER = {52 \#2936}, MRREVIEWER = {Vaclav Chvatal}, } @InCollection{erdos75:_euclid_ramsey, AUTHOR = {Erd{\H{o}}s, P. and Graham, R. L. and Montgomery, P. and Rothschild, B. L. and Spencer, J. and Straus, E. G.}, TITLE = {Euclidean {R}amsey theorems. {I}{I}}, BOOKTITLE = {Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erd\H os on his 60th birthday), Vol. I}, PAGES = {529--557. Colloq. Math. Soc. J\'anos Bolyai, Vol. 10}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = 1975, MRCLASS = {05C15}, MRNUMBER = {52 \#2935}, MRREVIEWER = {Vaclav Chvatal}, } @Article{EuclideanI, AUTHOR = {Erd{\H{o}}s, P. and Graham, R. L. and Montgomery, P. and Rothschild, B. L. and Spencer, J. and Straus, E. G.}, TITLE = {Euclidean {R}amsey theorems. {I}}, JOURNAL = {J. Combinatorial Theory Ser. A}, VOLUME = 14, YEAR = 1973, PAGES = {341--363}, MRCLASS = {05B30}, MRNUMBER = {47 \#4825}, MRREVIEWER = {Vaclav Chvatal}, } @InCollection{graham97:_euclid_ramsey, author = {Graham, R. L.}, title = {Euclidean Ramsey theory}, booktitle = {Handbook of discrete and computational geometry}, pages = {153--166}, publisher = {CRC Press}, year = 1997, editor = {Goodman, Jacob E. and O'{R}ourke, Joseph}, series = {CRC Press Series on Discrete Mathematics and its Applications}, address = {Boca Raton, FL} } @InProceedings{EHP, author = Er # " and Hajnal, A. and P\'osa, L.", title = "Strong embeddings of graphs into colored graphs", booktitle = "Infinite and Finite Sets", editor = "Hajnal, A. and Rado, R. and " # So, series = CMSJB, volume = 10, publisher = "North-Holland", address = {Keszthely, 1973}, OPTaddress = "Amsterdam", year = 1975, pages = "585--595" } @Article{ES66, author = Er # { and } # Si, title = {A limit theorem in graph theory}, journal = SSMH, year = 1966, volume = 1, pages = {51--57}, annote = {34~\#5702} } @Article{ErdosStone1946, author = Er # { and Stone, A. H.}, title = {On the structure of linear graphs}, journal = BAMS, year = 1946, volume = 52, pages = {1087--1091} } @article {ErdosStone1946, author = {Erd{\H o}s, P. and Stone, A. H.}, title = {On the structure of linear graphs}, journal = {Bull. Amer. Math. Soc.}, FJOURNAL = {Bulletin of the American Mathematical Society}, VOLUME = 52, year = 1946, PAGES = {1087--1091}, ISSN = {0002-9904}, MRCLASS = {56.0X}, MRNUMBER = {0018807 (8,333b)}, MRREVIEWER = {H. S. M. Coxeter}, } @article {erdos46:_struc_linear_grs, author = {Erd{\H o}s, P. and Stone, A. H.}, title = {On the structure of linear graphs}, journal = {Bull. Amer. Math. Soc.}, FJOURNAL = {Bulletin of the American Mathematical Society}, VOLUME = 52, year = 1946, PAGES = {1087--1091}, ISSN = {0002-9904}, MRCLASS = {56.0X}, MRNUMBER = {0018807 (8,333b)}, MRREVIEWER = {H. S. M. Coxeter}, } @Article{ESz, author = Er # " and Szekeres, G.", title = "A combinatorial problem in geometry", journal = "Compositio Math.", year = 1935, volume = 2, pages = "463--470" } @Article{ErdosTuran36:OLD, author = Er # { and } # Tur, title = {On some sequences of integers}, journal = JLMS, year = 1936, volume = 11, number = 2, pages = {261--264} } @article{ErdosTuran36, author="Erd\H{o}s, Paul and Tur\'an, P\'al", title="{On some sequences of integers.}", language="English", journal="J. Lond. Math. Soc. ", volume="11", pages="261-264", year="1936", doi={10.1112/jlms/s1-11.4.261}, abstract="{Let $a_1 < a_2 < \cdots < a_r \le n$ be a set of positive integers such that $a_i-a_j\ne a_j-a_k$ for $1\le k < j < i\le r$. For given $n$ let $r(n)$ be the maximum value of $r$ for which such a set exists. The authors prove that (1) $r(2n)\le n$ for $n\ge 8$, (2) $\limsup r(n)/n \le {4\over 9}$. They conjecture that $r(n)=o(n)$, and {\it G. Szekeres} conjectured that $r({1\over 2} (3^k+1))=2^k$.}", reviewer="{H. M. Davenport (Cambridge)}", keywords="{sequences of integers; density; arithmetic progression}", classmath="{*11B83 (Special sequences of integers and polynomials) 11B25 (Arithmetic progressions) }", } @Article{ErdosHajnalConj:_OLD, author = Er # { and Hajnal, A.}, title = {Ramsey-type theorems}, journal = DAM, year = 1989, volume = 25, number = {1--2}, pages = {37--52}, note = {MR90m:05091} } @article {ErdosHajnalConj, AUTHOR = {Erd{\H{o}}s, P. and Hajnal, A.}, TITLE = {Ramsey-type theorems}, NOTE = {Combinatorics and complexity (Chicago, IL, 1987)}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences}, VOLUME = {25}, YEAR = {1989}, NUMBER = {1-2}, PAGES = {37--52}, ISSN = {0166-218X}, CODEN = {DAMADU}, MRCLASS = {05C55}, MRNUMBER = {MR1031262 (90m:05091)}, MRREVIEWER = {C. C. Rousseau}, } @article {erdos89:_ramsey, AUTHOR = {Erd{\H{o}}s, P. and Hajnal, A.}, TITLE = {Ramsey-type theorems}, NOTE = {Combinatorics and complexity (Chicago, IL, 1987)}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences}, VOLUME = 25, YEAR = 1989, NUMBER = {1-2}, PAGES = {37--52}, ISSN = {0166-218X}, CODEN = {DAMADU}, MRCLASS = {05C55}, MRNUMBER = {MR1031262 (90m:05091)}, MRREVIEWER = {C. C. Rousseau}, } %%%%%% FFFF @Article{breed:FL1, author = {Fellows, M. and Langston, M.}, title = {Non-constructive advances in polynomial-time complexity}, journal = IPL, year = 1987, volume = 26, pages = {157--162} } @Article{breed:FL2, author = {Fellows, M. and Langston, M.}, title = {Non-constructive tools for proving polynomial-time decidability}, journal = JACM, year = 1988, volume = 35, pages = {727--739} } @InProceedings{fernandes97, author = {Fernandes, Cristina G.}, title = {A better approximation ratio for the minimum $k$-edge-connected spanning subgraph problem}, booktitle = {Proceedings of the Eighth Annual ACM-SIAM Symposium on Discrete Algorithms (New Orleans, LA, 1997)}, pages = {629--638}, publisher = {ACM}, address = {New York}, year = 1997, } @Article{fernandes97JAlgorithms, author = {Fernandes, Cristina G.}, title = {A better approximation ratio for the minimum $k$-edge-connected spanning subgraph problem}, journal = {Journal of Algorithms}, year = {}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTmonth = {}, OPTpages = {}, note = {to appear}, OPTannote = {} } @Article{FerrariFontes93Resenhas, author = {Ferrari, P. A. and Fontes, L. R. G.}, title = {Shocks in asymmetric one-dimensional exclusion processes}, journal = Resenhas, year = 1993, volume = 1, number = 1, pages = {57--68} } @InProceedings{FerrariP94f, year = {1994}, title = {Shocks in one-dimensional processes with drift}, editor = {Grimmett, G}, booktitle = {Probability and Phase Transition}, series = {{NATO} {ASI} Series C, Mathematical and Physical Sciences}, publisher = {Kluwer Academic Publishers}, address = {Dordrecht}, volume = {420}, pages = {35--48}, author = {Ferrari, P. A.} } @MastersThesis{Fer89, author = "Ferreira, C. E.", title = "O Problema de {S}teiner em Grafos: Uma Abordagem Poli\'edrica", school = "Instituto de Matem\'atica e Estat\'{\i}stica da USP", year = 1989 } @PHDThesis{Fe, author = "Ferreira, C. E.", title = "On Combinatorial Otimization Problems Arising in Computer System Design", school = "Technische Universit{\"a}t Berlin", year = 1994 } @Article{FMSWW, author = "Ferreira, C. E. and Martin, A. and de Souza, C. C. and Weismantel, R. and Wolsey, L. A.", title = "The node capacitated graph partitioning problem: a computational study", journal = MP, note = "to appear" } @Article{FerMarWeis, author = "Ferreira, C. E. and Martin, A. and Weismantel, R.", title = "Solving multiple knapsack problems by cutting planes", journal = SIAMJO, year = 1996, volume = 6 } @Article{FF56, author = "Ford Jr., L. R. and Fulkerson, D. R.", title = "Maximal flow through a network", journal = CJM, year = 1956, volume = 8, pages = "399--404" } @Article{FF57, author = "Ford Jr., L. R. and Fulkerson, D. R.", title = "A simple algorithm for finding maximal network flows and an application to the {H}itchcock problem", journal = CJM, year = 1957, volume = 9, pages = "210--218" } @Article{fournier77:_method, AUTHOR = {Fournier, J.-C.}, TITLE = {M\'ethode et th\'eor\`eme g\'en\'eral de coloration des ar\^etes d'un multigraphe}, JOURNAL = {J. Math. Pures Appl. (9)}, VOLUME = 56, YEAR = 1977, NUMBER = 4, PAGES = {437--453}, MRCLASS = {05C15}, MRNUMBER = {58 #5329}, MRREVR = {C. Berge}, } @Article{Frank, author = "Frank, A.", title = "A weighted matroid intersection algorithm", journal = JA, year = 1981, volume = 2, pages = "328--336" } @InCollection{frankl78:_erd_ko_rado, AUTHOR = {Frankl, P.}, TITLE = {The {E}rd{\H o}s-{K}o-{R}ado theorem is true for $n=ckt$}, BOOKTITLE = {Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. I}, PAGES = {365--375}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = 1978, MRCLASS = {05A20 (04A20)}, MRNUMBER = {80c:05014}, MRREVIEWER = {Mikha{\"\i}l Deza}, } @Article{frankl92, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {The uniformity lemma for hypergraphs}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = 8, YEAR = 1992, NUMBER = 4, PAGES = {309--312}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C65}, MRNUMBER = {94a:05157}, } @article {MR92d:05011, AUTHOR = {Frankl, P. and Graham, R. L. and R{\"o}dl, V.}, TITLE = {Quantitative {V}ersionen von kombinatorischen {P}artitionss\"atzen}, JOURNAL = {Jahresber. Deutsch. Math.-Verein.}, FJOURNAL = {Jahresbericht der Deutschen Mathematiker-Vereinigung}, VOLUME = {92}, YEAR = {1990}, NUMBER = {3}, PAGES = {130--144}, ISSN = {0012-0456}, CODEN = {JDMVA7}, MRCLASS = {05A18 (05D10 11B75)}, MRNUMBER = {92d:05011}, MRREVIEWER = {J. R. Griggs}, } @article {MR91d:05089, AUTHOR = {Frankl, P. and Graham, R. L. and R{\"o}dl, V.}, TITLE = {Iterated combinatorial density theorems}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {54}, YEAR = {1990}, NUMBER = {1}, PAGES = {95--111}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05D10}, MRNUMBER = {91d:05089}, MRREVIEWER = {N. Hindman}, } @article {MR90i:52015, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {A partition property of simplices in {E}uclidean space}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {3}, YEAR = {1990}, NUMBER = {1}, PAGES = {1--7}, ISSN = {0894-0347}, MRCLASS = {52A37 (05A99)}, MRNUMBER = {90i:52015}, MRREVIEWER = {R. L. Graham}, } @incollection {MR90h:05019, AUTHOR = {Frankl, P. and Graham, R. L. and R{\"o}dl, V.}, TITLE = {On the distribution of monochromatic configurations}, BOOKTITLE = {Irregularities of partitions (Fert{\H o}d, 1986)}, PAGES = {71--87}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1989}, MRCLASS = {05A17 (05A05 11B75)}, MRNUMBER = {90h:05019}, MRREVIEWER = {J. R. Griggs}, } @article {frankl88:_some_ramsey_turan, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {Some {R}amsey-{T}ur\'an type results for hypergraphs}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = 8, YEAR = 1988, NUMBER = 4, PAGES = {323--332}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C35 (05C55 05C65)}, MRNUMBER = {90a:05106}, MRREVIEWER = {Ralph Faudree}, } @article {MR89i:05038, AUTHOR = {Frankl, Peter and R{\"o}dl, Vojt{\v{e}}ch}, TITLE = {Lower bounds for {T}ur\'an's problem}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics. An Asian Journal}, VOLUME = {1}, YEAR = {1985}, NUMBER = {3}, PAGES = {213--216}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05A20 (05A05)}, MRNUMBER = {89i:05038}, MRREVIEWER = {Serge{\u\i} L. Bezrukov}, } @article {frankl88:_quant, AUTHOR = {Frankl, P. and Graham, R. L. and R{\"o}dl, V.}, TITLE = {Quantitative theorems for regular systems of equations}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = 47, YEAR = 1988, NUMBER = 2, PAGES = {246--261}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05A99 (15A99)}, MRNUMBER = {89d:05020}, MRREVIEWER = {Charles M. Grinstead}, } @article {frankl86, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {Large triangle-free subgraphs in graphs without ${K}\sb 4$}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics. An Asian Journal}, VOLUME = {2}, YEAR = {1986}, NUMBER = {2}, PAGES = {135--144}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C55}, MRNUMBER = {89b:05124}, MRREVIEWER = {J. Spencer}, } @article {frankl86:_large_k, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {Large triangle-free subgraphs in graphs without ${K}\sb 4$}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics. An Asian Journal}, VOLUME = 2, YEAR = 1986, NUMBER = 2, PAGES = {135--144}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C55}, MRNUMBER = {89b:05124}, MRREVIEWER = {J. Spencer}, } @article {erd86:_asymptotic, AUTHOR = {Erd{\H o}s, P. and Frankl, P. and R{\"o}dl, V.}, TITLE = {The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics. An Asian Journal}, VOLUME = 2, YEAR = 1986, NUMBER = 2, PAGES = {113--121}, ISSN = {0911-0119}, CODEN = {GRCOE5}, MRCLASS = {05C30 (05C65 05C75)}, MRNUMBER = {89b:05102}, MRREVIEWER = {Edward A. Bender}, } @Article{frankl87:_forbid, AUTHOR = {Frankl, Peter and R{\"o}dl, Vojt{\v{e}}ch}, TITLE = {Forbidden intersections}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = 300, YEAR = 1987, NUMBER = 1, PAGES = {259--286}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {05A05 (94B25)}, MRNUMBER = {88m:05003}, MRREVIEWER = {G. O. H. Katona}, } @article {MR88f:05018, AUTHOR = {Frankl, P. and Graham, R. L. and R{\"o}dl, V.}, TITLE = {On subsets of abelian groups with no $3$-term arithmetic progression}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {45}, YEAR = {1987}, NUMBER = {1}, PAGES = {157--161}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05A99 (20D60 20K01)}, MRNUMBER = {88f:05018}, MRREVIEWER = {Joe P. Buhler}, } @article {MR88d:05018, AUTHOR = {Frankl, Peter and R{\"o}dl, Vojt{\v{e}}ch}, TITLE = {All triangles are {R}amsey}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {297}, YEAR = {1986}, NUMBER = {2}, PAGES = {777--779}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {05A99 (51M99)}, MRNUMBER = {88d:05018}, } @article {MR88b:05013, AUTHOR = {Frankl, P. and Graham, R. L. and R{\"o}dl, V.}, TITLE = {Induced restricted {R}amsey theorems for spaces}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {44}, YEAR = {1987}, NUMBER = {1}, PAGES = {120--128}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05A17}, MRNUMBER = {88b:05013}, MRREVIEWER = {Walter A. Deuber}, } @article {MR88a:05116, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {Near perfect coverings in graphs and hypergraphs}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {6}, YEAR = {1985}, NUMBER = {4}, PAGES = {317--326}, ISSN = {0195-6698}, MRCLASS = {05C70 (05B40)}, MRNUMBER = {88a:05116}, MRREVIEWER = {Zolt{\'a}n F{\"u}redi}, } @Article{frankl84:_hyper, AUTHOR = {Frankl, P. and R{\"o}dl, V.}, TITLE = {Hypergraphs do not jump}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = 4, YEAR = 1984, NUMBER = {2-3}, PAGES = {149--159}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C65}, MRNUMBER = {86f:05097}, MRREVIEWER = {Noga Alon}, } @article {MR85m:52009, AUTHOR = {Frankl, P. and Pach, J. and R{\"o}dl, V.}, TITLE = {How to build a barricade}, JOURNAL = {Monatsh. Math.}, FJOURNAL = {Monatshefte f\"ur Mathematik}, VOLUME = {98}, YEAR = {1984}, NUMBER = {2}, PAGES = {93--98}, ISSN = {0026-9255}, CODEN = {MNMTA2}, MRCLASS = {52A45}, MRNUMBER = {85m:52009}, MRREVIEWER = {K. J. 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Series B}, VOLUME = 63, YEAR = 1995, NUMBER = 1, PAGES = {146--152}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C80 (05D10)}, MRNUMBER = {MR1309362 (95m:05215)}, MRREVIEWER = {{\'A}kos Seress}, } @Article{KLRap3:ORIG, author = "Kohayakawa, Y. and {\L}uczak, T. and " # Ro, title = "Arithmetic progressions of length three in subsets of a random set", journal = "Acta Arithmetica", year = 1996, volume = "LXXV", number = 2, pages = "133--163" } @article {KLRap3, FAUTHOR = {Kohayakawa, Yoshiharu and {\L}uczak, Tomasz and R{\"o}dl, Vojt{\v{e}}ch}, AUTHOR = {Kohayakawa, Y. and {\L}uczak, T. and R{\"o}dl, V.}, TITLE = {Arithmetic progressions of length three in subsets of a random set}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {75}, YEAR = {1996}, NUMBER = {2}, PAGES = {133--163}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11B25 (05C80 11K99 60D05)}, MRNUMBER = {97b:11011}, MRREVIEWER = {Colin J. H. McDiarmid}, } @Article{KLR, author = "Kohayakawa, Y. and {\L}uczak, T. and R{\"o}dl, V.", title = "Ramsey-type results for oriented trees", journal = JGT, year = 1996, volume = 22, number = 1, pages = "1--8", annote = "Submitted March 1994; accepted December 1994" } @Article{KLRfour:OLD, author = {Kohayakawa, Y. and {\L}uczak, T. and R{\"o}dl, V.}, title = {On {$K^4$}-free subgraphs of random graphs}, journal = {Combinatorica}, year = 1997, volume = 17, number = 2, pages = {173--213}, annote = {Submitted c.~4 September 1995; accepted 20 February 1997}, } @article {KLRfour, AUTHOR = {Kohayakawa, Y. and {\L}uczak, T. and R{\"o}dl, V.}, TITLE = {On {$K\sp 4$}-free subgraphs of random graphs}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {17}, YEAR = {1997}, NUMBER = {2}, PAGES = {173--213}, ISSN = {0209-9683}, MRCLASS = {05C80 (05C35)}, MRNUMBER = {98h:05166}, MRREVIEWER = {Mark R. Jerrum}, } @article {kohayakawa98:_induc_ramsey, AUTHOR = {Kohayakawa, Y. and Pr{\"o}mel, H. J. and R{\"o}dl, V.}, TITLE = {Induced {R}amsey numbers}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = 18, YEAR = 1998, NUMBER = 3, PAGES = {373--404}, ISSN = {0209-9683}, MRCLASS = {05C55 (05C35 05C80)}, MRNUMBER = {MR1721950 (2000j:05082)}, MRREVIEWER = {A. G. Thomason}, } @article {KPRo-off-diag, AUTHOR = {Kohayakawa, Y. and Pr{\"o}mel, H. J. and R{\"o}dl, V.}, TITLE = {Induced {R}amsey numbers}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {18}, YEAR = {1998}, NUMBER = {3}, PAGES = {373--404}, ISSN = {0209-9683}, MRCLASS = {05C55 (05C35 05C80)}, MRNUMBER = {MR1721950 (2000j:05082)}, MRREVIEWER = {A. G. 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T. and Sz{\H o}nyi, T.}, volume = {2}, series = {Bolyai Society Mathematical Studies}, address = {Budapest}, pages = {295--352}, } @article {KreuterCyclesVertex, AUTHOR = {Kreuter, Bernd}, TITLE = {Threshold functions for asymmetric {R}amsey properties with respect to vertex colorings}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = {9}, YEAR = {1996}, NUMBER = {3}, PAGES = {335--348}, ISSN = {1042-9832}, MRCLASS = {05C80 (05C55)}, MRNUMBER = {99c:05178}, MRREVIEWER = {Tomasz J. {\L}uczak}, } @Article{kriz91, author = "K\v{r}\'{\i}\v{z}, I.", title = "Permutation groups in {E}uclidean {R}amsey {T}heory", journal = PAMS, year = 1991, volume = 112, number = 3, pages = "899--907" } %%%%%% LLLL @article {MR2733066, AUTHOR = {Lov{\'a}sz, L{\'a}szl{\'o} and Szegedy, Bal{\'a}zs}, TITLE = {Testing properties of graphs and functions}, JOURNAL = {Israel J. 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Graph Theory}, FJOURNAL = {Journal of Graph Theory}, VOLUME = {37}, YEAR = {2001}, NUMBER = {4}, PAGES = {220--226}, ISSN = {0364-9024}, CODEN = {JGTHDO}, MRCLASS = {05C15}, MRNUMBER = {2002d:05057}, } @article {osthus98:_maxim_boolean, AUTHOR = {Osthus, Deryk}, TITLE = {Maximum antichains in random subsets of a finite set}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = 90, YEAR = 2000, NUMBER = 2, PAGES = {336--346}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {06A06 (06A07)}, MRNUMBER = {2001c:06002}, MRREVIEWER = {B. Zelinka}, } %%%%%% PPPP @Article{pillai39, AUTHOR = {Pillai, S. S.}, TITLE = {On numbers which are not multiples of any other in the set}, JOURNAL = {Proc. Indian Acad. Sci., Sect. A.}, VOLUME = 10, YEAR = 1939, PAGES = {392--394}, MRCLASS = {10.0X}, MRNUMBER = {1,135i}, MRREVIEWER = {P. Scherk}, } @Article{PSch, author = "Peleg, D. and Sch{\"a}ffer, A.", title = "Graph Spanners", journal = JGT, year = 1989, volume = 13, pages = "99--116" } @PhdThesis{dePina95PhD, author = {de~Pina, J. C.}, title = {Applications of Shortest Path Methods}, school = {Universiteit van Amsterdam}, year = 1995, address = {Amsterdam}, month = {December} } @Article{PS, author = "Pippenger, N. and " # Sp, title = "Asymptotic behaviour of the chromatic index for hypergraphs", journal = JCTA, year = 1989, volume = 51, pages = "24--42" } @article{proemel93:_exclud, AUTHOR = {Pr{\"o}mel, Hans J{\"u}rgen and Steger, Angelika}, TITLE = {Excluding induced subgraphs. {I}{I}. {E}xtremal graphs}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. 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V.}, TITLE = {Simultaneous messages vs.\ communication}, BOOKTITLE = {STACS 95 (Munich, 1995)}, PAGES = {361--372}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = 1995, annote = {MR96k:68065}, } @InProceedings{kohayakawa00:_equiv, author = {Kohayakawa, Y. and R\"odl, V. and Skokan, J.}, title = {Equivalent conditions for regularity {\rm(}extended abstract{\rm)}}, booktitle = {LATIN'2000: Theoretical Informatics {\rm(}Punta del Este, 2000{\rm)}}, year = 2000, editor = {Gonnet, G. and Panario, D. and Viola, A.}, series = {Lecture Notes in Computer Science}, OPTaddress = {Punta del Este}, publisher = {Springer, Berlin}, pages = {48--57}, note = {} } @article {KohayakawaRoSkokan99, AUTHOR = {Kohayakawa, Yoshiharu and R{\"o}dl, Vojt{\v{e}}ch and Skokan, Jozef}, TITLE = {Hypergraphs, quasi-randomness, and conditions for regularity}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {97}, YEAR = {2002}, NUMBER = {2}, PAGES = {307--352}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05C65 (05C80)}, MRNUMBER = {2003b:05112}, MRREVIEWER = {A. G. 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A Journal on the Theory of Ordered Sets and its Applications}, VOLUME = {7}, YEAR = {1990}, NUMBER = {3}, PAGES = {267--273}, ISSN = {0167-8094}, CODEN = {ORDRE5}, MRCLASS = {06A07}, MRNUMBER = {93a:06003}, MRREVIEWER = {K. P. Bogart}, } @article {MR92f:05008, AUTHOR = {Aigner, Martin and Duffus, Dwight and Kleitman, Daniel J.}, TITLE = {Partitioning a power set into union-free classes}, NOTE = {Combinatorics of ordered sets (Oberwolfach, 1988)}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {88}, YEAR = {1991}, NUMBER = {2-3}, PAGES = {113--119}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A05 (05C65)}, MRNUMBER = {92f:05008}, MRREVIEWER = {Wen Li Chen}, } @article {MR92e:06010, AUTHOR = {Duffus, Dwight and Kierstead, H. A. and Trotter, W. T.}, TITLE = {Fibres and ordered set coloring}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {58}, YEAR = {1991}, NUMBER = {1}, PAGES = {158--164}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {06A07 (05C15)}, MRNUMBER = {92e:06010}, } @article {MR92e:06009, AUTHOR = {Duffus, D. and Sands, B. and Sauer, N. and Woodrow, R. E.}, TITLE = {Two-colouring all two-element maximal antichains}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {57}, YEAR = {1991}, NUMBER = {1}, PAGES = {109--116}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {06A07}, MRNUMBER = {92e:06009}, MRREVIEWER = {Henry A. Kierstead}, } @article {MR91d:06001, AUTHOR = {Bonnet, R. and Duffus, D. and Woodrow, R. E.}, TITLE = {Coloring chains}, JOURNAL = {Order}, FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its Applications}, VOLUME = {6}, YEAR = {1989}, NUMBER = {1}, PAGES = {69--89}, ISSN = {0167-8094}, CODEN = {ORDRE5}, MRCLASS = {06A05}, MRNUMBER = {91d:06001}, MRREVIEWER = {Eduard Fuchs}, } @article {MR91b:06012, AUTHOR = {Duffus, D. and Sands, B. and Winkler, P.}, TITLE = {Maximal chains and antichains in {B}oolean lattices}, JOURNAL = {SIAM J. Discrete Math.}, FJOURNAL = {SIAM Journal on Discrete Mathematics}, VOLUME = {3}, YEAR = {1990}, NUMBER = {2}, PAGES = {197--205}, ISSN = {0895-4801}, CODEN = {SJDMEC}, MRCLASS = {06A23}, MRNUMBER = {91b:06012}, MRREVIEWER = {Shaocen Han}, } @article {MR90d:05155, AUTHOR = {Duffus, Dwight and Sands, Bill and Woodrow, Robert}, TITLE = {Lexicographic matchings cannot form {H}amiltonian cycles}, JOURNAL = {Order}, FJOURNAL = {Order}, VOLUME = {5}, YEAR = {1988}, NUMBER = {2}, PAGES = {149--161}, ISSN = {0167-8094}, CODEN = {ORDRE5}, MRCLASS = {05C45 (05C70)}, MRNUMBER = {90d:05155}, MRREVIEWER = {Arthur M. Hobbs}, } @article {MR89h:06002, AUTHOR = {Duffus, Dwight and Sauer, Norbert}, TITLE = {Fixed points of products and the strong fixed point property}, JOURNAL = {Order}, FJOURNAL = {Order}, VOLUME = {4}, YEAR = {1987}, NUMBER = {3}, PAGES = {221--231}, ISSN = {0167-8094}, CODEN = {ORDRE5}, MRCLASS = {06A10}, MRNUMBER = {89h:06002}, MRREVIEWER = {Margret H. H{\"o}ft}, } @article {MR88d:05058, AUTHOR = {Duffus, D. and Sands, B. and Woodrow, R. E.}, TITLE = {On the chromatic number of the product of graphs}, JOURNAL = {J. Graph Theory}, FJOURNAL = {Journal of Graph Theory}, VOLUME = {9}, YEAR = {1985}, NUMBER = {4}, PAGES = {487--495}, ISSN = {0364-9024}, CODEN = {JGTHDO}, MRCLASS = {05C15}, MRNUMBER = {88d:05058}, MRREVIEWER = {Daniel Turz{\'\i}k}, } @article {MR87i:05117, AUTHOR = {Duffus, D. A. and Hanson, D.}, TITLE = {Minimal $k$-saturated and color critical graphs of prescribed minimum degree}, JOURNAL = {J. Graph Theory}, FJOURNAL = {Journal of Graph Theory}, VOLUME = {10}, YEAR = {1986}, NUMBER = {1}, PAGES = {55--67}, ISSN = {0364-9024}, CODEN = {JGTHDO}, MRCLASS = {05C35 (05C15)}, MRNUMBER = {87i:05117}, MRREVIEWER = {Bradley W. Jackson}, } @article {MR86h:06003, AUTHOR = {Duffus, Dwight}, TITLE = {Automorphisms and products of ordered sets}, JOURNAL = {Algebra Universalis}, FJOURNAL = {Algebra Universalis}, VOLUME = {19}, YEAR = {1984}, NUMBER = {3}, PAGES = {366--369}, ISSN = {0002-5240}, CODEN = {AGUVA3}, MRCLASS = {06A10}, MRNUMBER = {86h:06003}, MRREVIEWER = {Werner Poguntke}, } @incollection {MR86f:06001, AUTHOR = {Duffus, Dwight and Pouzet, Maurice}, TITLE = {Representing ordered sets by chains}, BOOKTITLE = {Orders: description and roles (L'Arbresle, 1982)}, PAGES = {81--98}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1984}, MRCLASS = {06A10 (06B20)}, MRNUMBER = {86f:06001}, MRREVIEWER = {R. P. Dilworth}, } @article {MR86c:06008, AUTHOR = {Duffus, Dwight}, TITLE = {Powers of ordered sets}, JOURNAL = {Order}, FJOURNAL = {Order}, VOLUME = {1}, YEAR = {1984}, NUMBER = {1}, PAGES = {83--92}, ISSN = {0167-8094}, CODEN = {ORDRE5}, MRCLASS = {06A10}, MRNUMBER = {86c:06008}, MRREVIEWER = {Brian A. Davey}, } @article {MR84f:05075, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {Graphs orientable as distributive lattices}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {88}, YEAR = {1983}, NUMBER = {2}, PAGES = {197--200}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {05C75 (06D99)}, MRNUMBER = {84f:05075}, MRREVIEWER = {B. Zelinka}, } @article {MR83m:06003, AUTHOR = {Duffus, D. and Rival, I. and Winkler, P.}, TITLE = {Minimizing setups for cycle-free ordered sets}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {85}, YEAR = {1982}, NUMBER = {4}, PAGES = {509--513}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {06A10}, MRNUMBER = {83m:06003}, MRREVIEWER = {Derek C. J. Burgess}, } @incollection {MR83i:06003, AUTHOR = {Davey, B. A. and Duffus, D.}, TITLE = {Exponentiation and duality}, BOOKTITLE = {Ordered sets (Banff, Alta., 1981)}, PAGES = {43--95}, PUBLISHER = {Reidel}, ADDRESS = {Dordrecht}, YEAR = {1982}, MRCLASS = {06A10 (04A10 06D05 54B30)}, MRNUMBER = {83i:06003}, MRREVIEWER = {R. P. Dilworth}, } @incollection {MR83g:06006, AUTHOR = {Duffus, Dwight and Wille, Rudolf}, TITLE = {Automorphism groups of function lattices}, BOOKTITLE = {Universal algebra (Esztergom, 1977)}, PAGES = {203--207}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1982}, MRCLASS = {06B05}, MRNUMBER = {83g:06006}, } @article {MR83f:06018, AUTHOR = {Duffus, Dwight}, TITLE = {Matching in modular lattices}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {32}, YEAR = {1982}, NUMBER = {3}, PAGES = {303--314}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {06C05 (05C70)}, MRNUMBER = {83f:06018}, MRREVIEWER = {George Hutchinson}, } @incollection {MR83e:05079, AUTHOR = {Duffus, D. and Jacobson, M. S. and Gould, R. J.}, TITLE = {Forbidden subgraphs and the {H}amiltonian theme}, BOOKTITLE = {The theory and applications of graphs (Kalamazoo, Mich., 1980)}, PAGES = {297--316}, PUBLISHER = {Wiley}, ADDRESS = {New York}, YEAR = {1981}, MRCLASS = {05C45 (05C38)}, MRNUMBER = {83e:05079}, MRREVIEWER = {H. A. Jung}, } @article {MR83a:06006, AUTHOR = {Babai, L. and Duffus, D.}, TITLE = {Dimension and automorphism groups of lattices}, JOURNAL = {Algebra Universalis}, FJOURNAL = {Algebra Universalis}, VOLUME = {12}, YEAR = {1981}, NUMBER = {3}, PAGES = {279--289}, ISSN = {0002-5240}, MRCLASS = {06B99 (06C99 20B25)}, MRNUMBER = {83a:06006}, MRREVIEWER = {Cheryl E. Praeger}, } @article {MR82j:06003, AUTHOR = {Duffus, D. and Pouzet, M. and Rival, I.}, TITLE = {Complete ordered sets with no infinite antichains}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {35}, YEAR = {1981}, PAGES = {39--52}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {06A10 (06A23)}, MRNUMBER = {82j:06003}, MRREVIEWER = {R. P. Dilworth}, } @article {MR82f:06001, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {A structure theory for ordered sets}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {35}, YEAR = {1981}, PAGES = {53--118}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {06A10 (08A99)}, MRNUMBER = {82f:06001}, MRREVIEWER = {Ki Hang Kim}, } @article {MR82c:06005, AUTHOR = {Duffus, D. and Rival, I. and Simonovits, M.}, TITLE = {Spanning retracts of a partially ordered set}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {32}, YEAR = {1980}, NUMBER = {1}, PAGES = {1--7}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {06A10}, MRNUMBER = {82c:06005}, MRREVIEWER = {Derek C. J. Burgess}, } @article {MR81h:06001, AUTHOR = {Duffus, Dwight and Poguntke, Werner and Rival, Ivan}, TITLE = {Retracts and the fixed point problem for finite partially ordered sets}, JOURNAL = {Canad. Math. Bull.}, FJOURNAL = {Canadian Mathematical Bulletin}, VOLUME = {23}, YEAR = {1980}, NUMBER = {2}, PAGES = {231--236}, ISSN = {0008-4395}, CODEN = {CMBUA3}, MRCLASS = {06A10}, MRNUMBER = {81h:06001}, MRREVIEWER = {James B. Nation}, } @article {MR81c:06012, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {A note on weak embeddings of distributive lattices}, JOURNAL = {Algebra Universalis}, FJOURNAL = {Algebra Universalis}, VOLUME = {10}, YEAR = {1980}, NUMBER = {2}, PAGES = {258--259}, ISSN = {0002-5240}, MRCLASS = {06D05}, MRNUMBER = {81c:06012}, } @article {MR80k:06001, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {Separable subsets of a finite lattice}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {25}, YEAR = {1978}, NUMBER = {2}, PAGES = {188--192}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {06A10 (06B05)}, MRNUMBER = {80k:06001}, } @article {MR80j:06003, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {Retracts of partially ordered sets}, JOURNAL = {J. Austral. Math. Soc. Ser. A}, FJOURNAL = {Australian Mathematical Society. Journal. Series A}, VOLUME = {27}, YEAR = {1979}, NUMBER = {4}, PAGES = {495--506}, ISSN = {0263-6115}, CODEN = {JAMADS}, MRCLASS = {06A10 (54C15 54H25)}, MRNUMBER = {80j:06003}, MRREVIEWER = {Djuro Kurepa}, } @article {MR80i:06002, AUTHOR = {Duffus, Dwight and Wille, Rudolf}, TITLE = {A theorem on partially ordered sets of order-preserving mappings}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {76}, YEAR = {1979}, NUMBER = {1}, PAGES = {14--16}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {06A10}, MRNUMBER = {80i:06002}, MRREVIEWER = {William T. Trotter, Jr.}, } @incollection {MR80b:06002, AUTHOR = {Duffus, D. and Rival, I.}, TITLE = {Crowns in dismantlable partially ordered sets}, BOOKTITLE = {Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. I}, PAGES = {271--292}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1978}, MRCLASS = {06A10}, MRNUMBER = {80b:06002}, MRREVIEWER = {Werner Poguntke}, } @article {MR58:27623, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {Path length in the covering graph of a lattice}, JOURNAL = {Discrete Math.}, VOLUME = {19}, YEAR = {1977}, NUMBER = {2}, PAGES = {139--158}, MRCLASS = {05C35}, MRNUMBER = {58 \#27623}, MRREVIEWER = {B. Zelinka}, } @article {MR58:16432, AUTHOR = {Duffus, Dwight and Rival, Ivan}, TITLE = {A logarithmic property for exponents of partially ordered sets}, JOURNAL = {Canad. J. Math.}, VOLUME = {30}, YEAR = {1978}, NUMBER = {4}, PAGES = {797--807}, MRCLASS = {06A10}, MRNUMBER = {58 \#16432}, MRREVIEWER = {Laszlo Lovasz}, } @article {MR57:12309, AUTHOR = {Duffus, D. and J{\'o}nsson, B. and Rival, I.}, TITLE = {Structure results for function lattices}, JOURNAL = {Canad. J. Math.}, VOLUME = {30}, YEAR = {1978}, NUMBER = {2}, PAGES = {392--400}, MRCLASS = {06A20}, MRNUMBER = {57 \#12309}, MRREVIEWER = {R. W. Quackenbush}, } @article {MR57:12308, AUTHOR = {Davey, B. A. and Duffus, D. and Quackenbush, R. W. and Rival, I.}, TITLE = {Exponents of finite simple lattices}, JOURNAL = {J. London Math. Soc. (2)}, VOLUME = {17}, YEAR = {1978}, NUMBER = {2}, PAGES = {203--221}, MRCLASS = {06A20}, MRNUMBER = {57 \#12308}, MRREVIEWER = {H. A. Priestley}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article {MR2001i:05098, AUTHOR = {Haines, Matthew and Shahriari, Shahriar}, TITLE = {On the $f$-vectors of cutsets in the {B}oolean lattice}, JOURNAL = {J. 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Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = 324, YEAR = 1991, NUMBER = 1, PAGES = {59--72}, ISSN = {0002-9947}, CODEN = {TAMTAM}, annote = {MR91f:60019} } @article {bollobas94, AUTHOR = {Bollob{\'a}s, B{\'e}la and Kohayakawa, Yoshiharu and {\L}uczak, Tomasz}, TITLE = {On the diameter and radius of random subgraphs of the cube}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = 5, YEAR = 1994, NUMBER = 5, PAGES = {627--648}, ISSN = {1042-9832}, annote = {MR95j:05156}, } @incollection {brightwell93:_model, AUTHOR = {Brightwell, Graham}, TITLE = {Models of random partial orders}, BOOKTITLE = {Surveys in combinatorics, 1993 (Keele)}, PAGES = {53--83}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = 1993, annote = {MR94i:06003} } @book {engel97:_spern, AUTHOR = {Engel, Konrad}, TITLE = {Sperner theory}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = 1997, PAGES = {x+417}, ISBN = {0-521-45206-6}, annote = {MR98m:05187} } @article {fill93:_percol_richar, AUTHOR = {Fill, James Allen and Pemantle, Robin}, TITLE = {Percolation, first-passage percolation and covering times for {R}ichardson's model on the $n$-cube}, JOURNAL = {Ann. Appl. Probab.}, FJOURNAL = {The Annals of Applied Probability}, VOLUME = 3, YEAR = 1993, NUMBER = 2, PAGES = {593--629}, ISSN = {1050-5164}, annote = {MR94h:60145}, } @article{kohayakawa98:_boolean, AUTHOR = {Kohayakawa, Y. and Kreuter, B. and Osthus, D.}, TITLE = {The length of random subsets of {B}oolean lattices}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = 16, YEAR = 2000, NUMBER = 2, PAGES = {177--194}, ISSN = {1042-9832}, MRCLASS = {06A06 (05C80 06A07 60C05)}, MRNUMBER = {2001c:06001}, MRREVIEWER = {T. S. 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Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {305}, YEAR = {1996}, NUMBER = {3}, PAGES = {571--599}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {11B85 (11A41 11N36 11N80)}, MRNUMBER = {97k:11029}, MRREVIEWER = {G{\'e}rald Tenenbaum}, } @article {MR97j:11046, AUTHOR = {Fouvry, E. and Mauduit, C.}, TITLE = {M\'ethodes de crible et fonctions sommes des chiffres}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {77}, YEAR = {1996}, NUMBER = {4}, PAGES = {339--351}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11N36}, MRNUMBER = {97j:11046}, MRREVIEWER = {G. Greaves}, } @article {MR97h:28005, AUTHOR = {Lesigne, Emmanuel and Mauduit, Christian}, TITLE = {Propri\'et\'es ergodiques des suites $q$-multiplicatives}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {100}, YEAR = {1996}, NUMBER = {2}, PAGES = {131--169}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {28D05 (11K31)}, MRNUMBER = {97h:28005}, MRREVIEWER = {Rita Giuliano Antonini}, } @article {MR97h:11022, AUTHOR = {Arnoux, Pierre and Mauduit, Christian}, TITLE = {Complexit\'e de suites engendr\'ees par des r\'ecurrences unipotentes}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {76}, YEAR = {1996}, NUMBER = {1}, PAGES = {85--97}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11B85 (58F03)}, MRNUMBER = {97h:11022}, MRREVIEWER = {M. Mend{\`e}s France}, } @article {MR97g:11107, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\`a}s}, TITLE = {On the arithmetic structure of sets characterized by sum of digits properties}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {61}, YEAR = {1996}, NUMBER = {1}, PAGES = {25--38}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11N60 (11K36 11N56)}, MRNUMBER = {97g:11107}, MRREVIEWER = {Yuri Bilu}, } @article {MR97b:58085, AUTHOR = {Ferenczi, S{\'e}bastien and Mauduit, Christian and Nogueira, Arnaldo}, TITLE = {Substitution dynamical systems: algebraic characterization of eigenvalues}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {29}, YEAR = {1996}, NUMBER = {4}, PAGES = {519--533}, ISSN = {0012-9593}, CODEN = {ASENAH}, MRCLASS = {58F11 (11K06 58F03)}, MRNUMBER = {97b:58085}, MRREVIEWER = {Thomas Ward}, } @article {MR96g:11116, AUTHOR = {Mauduit, Christian and Rivat, Jo{\"e}l}, TITLE = {R\'epartition des fonctions $q$-multiplicatives dans la suite $([n\sp c])\sb {n\in\bold {N}},\ c>1$}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {71}, YEAR = {1995}, NUMBER = {2}, PAGES = {171--179}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11N37 (11L40)}, MRNUMBER = {96g:11116}, MRREVIEWER = {Wolfgang Schwarz}, } @article {MR96d:11085, AUTHOR = {Ferenczi, S{\'e}bastien and Kwiatkowski, Jan and Mauduit, Christian}, TITLE = {A density theorem for (multiplicity, rank) pairs}, JOURNAL = {J. Anal. Math.}, FJOURNAL = {Journal d'Analyse Math\'ematique}, VOLUME = {65}, YEAR = {1995}, PAGES = {45--75}, ISSN = {0021-7670}, CODEN = {JOAMAV}, MRCLASS = {11K55 (11B05 28D05)}, MRNUMBER = {96d:11085}, MRREVIEWER = {S. I. Bezugly{\u\i}}, } @article {MR95h:11075, AUTHOR = {Lesigne, E. and Mauduit, C. and Moss{\'e}, B.}, TITLE = {Le th\'eor\`eme ergodique le long d'une suite $q$-multiplicative}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {93}, YEAR = {1994}, NUMBER = {1}, PAGES = {49--79}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {11K31 (11K55 28D99)}, MRNUMBER = {95h:11075}, MRREVIEWER = {Rita Giuliano Antonini}, } @article {MR95c:58059, AUTHOR = {Arnoux, Pierre and Mauduit, Christian and Shiokawa, Iekata and Tamura, Jun-ichi}, TITLE = {Rauzy's conjecture on billiards in the cube}, JOURNAL = {Tokyo J. Math.}, FJOURNAL = {Tokyo Journal of Mathematics}, VOLUME = {17}, YEAR = {1994}, NUMBER = {1}, PAGES = {211--218}, ISSN = {0387-3870}, MRCLASS = {58F03 (11B99)}, MRNUMBER = {95c:58059}, MRREVIEWER = {M. Mend{\`e}s France}, } @article {MR94m:28028, AUTHOR = {Lema{\'n}czyk, Mariusz and Mauduit, Christian}, TITLE = {Ergodicity of a class of cocycles over irrational rotations}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {Journal of the London Mathematical Society. Second Series}, VOLUME = {49}, YEAR = {1994}, NUMBER = {1}, PAGES = {124--132}, ISSN = {0024-6107}, CODEN = {JLMSAK}, MRCLASS = {28D05}, MRNUMBER = {94m:28028}, MRREVIEWER = {G. R. Goodson}, } @article {MR94m:11028, AUTHOR = {Arnoux, Pierre and Mauduit, Christian and Shiokawa, Iekata and Tamura, Jun-ichi}, TITLE = {Complexity of sequences defined by billiard in the cube}, JOURNAL = {Bull. Soc. Math. France}, FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France}, VOLUME = {122}, YEAR = {1994}, NUMBER = {1}, PAGES = {1--12}, ISSN = {0037-9484}, CODEN = {BSMFAA}, MRCLASS = {11B85 (05B45 58F03)}, MRNUMBER = {94m:11028}, MRREVIEWER = {M. Mend{\`e}s France}, } @book {MR94h:00021, TITLE = {Number theory, combinatorics and applications to computer science}, EDITOR = {Mauduit, C. and Nicolas, J.-L.}, NOTE = {Selected papers from the Tenth Conference on Mathematics-Computer Science held in Marseille, October 14--16, 1991, Theoret. Comput. Sci. {\bf 123} (1994), no. 1}, PUBLISHER = {Elsevier Science Publishers B.V.}, ADDRESS = {Amsterdam}, YEAR = {1994}, PAGES = {i--ii and 1--181}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {00B25}, MRNUMBER = {94h:00021}, } @book {MR92m:68003, TITLE = {Discrete mathematics and applications to computer science}, EDITOR = {Mauduit, C.}, NOTE = {Papers from the Eighth Conference on Mathematics and Informatics held in Marseille, October 19--21, 1989, Theoret. Comput. Sci. {\bf 94} (1992), no. 2}, PUBLISHER = {Elsevier Science Publishers B.V.}, ADDRESS = {Amsterdam}, YEAR = {1992}, PAGES = {i--ii and 159--393}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {68-06 (68Rxx)}, MRNUMBER = {92m:68003}, } @article {MR92a:11088, AUTHOR = {Mauduit, Christian and Moss{\'e}, Brigitte}, TITLE = {Suites de ${G}\sb q$-orbite finie}, JOURNAL = {Acta Arith.}, FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica}, VOLUME = {57}, YEAR = {1991}, NUMBER = {1}, PAGES = {69--82}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11K16}, MRNUMBER = {92a:11088}, MRREVIEWER = {M. Mend{\`e}s France}, } @incollection {MR91i:11090, AUTHOR = {Mauduit, Christian}, TITLE = {Substitutive normal sets}, BOOKTITLE = {Number theory, Vol.\ I (Budapest, 1987)}, PAGES = {317--323}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1990}, MRCLASS = {11K16}, MRNUMBER = {91i:11090}, MRREVIEWER = {Pierre Liardet}, } @article {MR90b:11075, AUTHOR = {Mauduit, Christian}, TITLE = {Caract\'erisation des ensembles normaux substitutifs}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {95}, YEAR = {1989}, NUMBER = {1}, PAGES = {133--147}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {11K16 (11K06 11K26 68Q45)}, MRNUMBER = {90b:11075}, MRREVIEWER = {B. Volkmann}, } @article {MR89j:11073, AUTHOR = {Mauduit, Christian}, TITLE = {Sur l'ensemble normal des substitutions de longueur quelconque}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {29}, YEAR = {1988}, NUMBER = {3}, PAGES = {235--250}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11K06 (54H20)}, MRNUMBER = {89j:11073}, MRREVIEWER = {F. Schweiger}, } @incollection {MR89j:11072, AUTHOR = {Mauduit, Christian}, TITLE = {Substitutions et \'equir\'epartition modulo $1$}, BOOKTITLE = {Colloque de Th\'eorie Analytique des Nombres ``Jean Coquet'' (Marseille, 1985)}, PAGES = {85--89}, PUBLISHER = {Univ. Paris XI}, ADDRESS = {Orsay}, YEAR = {1988}, MRCLASS = {11K06 (54H20 68Q45)}, MRNUMBER = {89j:11072}, MRREVIEWER = {F. Schweiger}, } @article {MR89g:11068, AUTHOR = {Mauduit, Christian and Moss{\'e}, Brigitte}, TITLE = {\'{E}tude spectrale de la multiplication $q$-adique}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {67}, YEAR = {1988}, NUMBER = {2}, PAGES = {129--147}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {11K41 (42C99)}, MRNUMBER = {89g:11068}, MRREVIEWER = {M. Iosifescu}, } @incollection {MR88k:11045, AUTHOR = {Mauduit, Christian}, TITLE = {Sur l'ensemble normal des suites substitutives}, BOOKTITLE = {S\'eminaire de th\'eorie des nombres, 1985--1986 (Talence, 1985--1986)}, PAGES = {Exp.\ No.\ 26, 6}, PUBLISHER = {Univ. Bordeaux I}, ADDRESS = {Talence}, YEAR = {1986}, MRCLASS = {11K06}, MRNUMBER = {88k:11045}, MRREVIEWER = {H. G. Meijer}, } @article {MR88e:68068, AUTHOR = {Mauduit, Christian}, TITLE = {Morphismes unispectraux}, JOURNAL = {Theoret. Comput. Sci.}, FJOURNAL = {Theoretical Computer Science}, VOLUME = {46}, YEAR = {1986}, NUMBER = {1}, PAGES = {1--11}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {68Q45 (20M35)}, MRNUMBER = {88e:68068}, MRREVIEWER = {Dani{\`e}le Beauquier}, } @article {MR87h:11071, AUTHOR = {Mauduit, Christian}, TITLE = {Automates finis et ensembles normaux}, JOURNAL = {Ann. Inst. Fourier (Grenoble)}, FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier}, VOLUME = {36}, YEAR = {1986}, NUMBER = {2}, PAGES = {1--25}, ISSN = {0373-0956}, CODEN = {AIFUA7}, MRCLASS = {11K16 (68Q70)}, MRNUMBER = {87h:11071}, MRREVIEWER = {F. Schweiger}, } @article {MR85i:11066, AUTHOR = {Mauduit, Christian}, TITLE = {Automates finis et \'equir\'epartition modulo $1$}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.}, FJOURNAL = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, VOLUME = {299}, YEAR = {1984}, NUMBER = {5}, PAGES = {121--123}, ISSN = {0249-6291}, CODEN = {CASMEI}, MRCLASS = {11K06 (11B05 68Q99)}, MRNUMBER = {85i:11066}, MRREVIEWER = {F. Schweiger}, } @Article{kohayakawa01:_Kk:OLD, author = {Kohayakawa, Y. and R{\"o}dl, V. and Schacht, M.}, title = {The {T}ur{\'a}n theorem for random graphs}, journal = {Combinatorics, Probability, and Computing}, year = {}, note = {to appear, 31pp}, annote = {Submitted 16 May 2002; accepted 18 Dec 2002 (provisionally accepted on 3 Sept 2002)} } @article {kohayakawa01:_Kk.OLD, AUTHOR = {Kohayakawa, Yoshiharu and R{\"o}dl, Vojt{\v{e}}ch and Schacht, Mathias}, TITLE = {The {T}ur\'an theorem for random graphs}, JOURNAL = {Combin. Probab. 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An International Journal on Combinatorics and the Theory of Computing}, VOLUME = 22, YEAR = 2002, NUMBER = 2, PAGES = {217--244}, ISSN = {0209-9683}, MRCLASS = {05C80}, MRNUMBER = {1 909 084}, } @article {cassaigne02, AUTHOR = {Cassaigne, Julien and Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On finite pseudorandom binary sequences. {VII}. {T}he measures of pseudorandomness}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = 103, YEAR = 2002, NUMBER = 2, PAGES = {97--118}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11K45 (11K31)}, MRNUMBER = {2004c:11139}, } @article {mauduit02:_finit, AUTHOR = {Mauduit, Christian}, TITLE = {Finite and infinite pseudorandom binary words}, NOTE = {WORDS (Rouen, 1999)}, JOURNAL = {Theoret. Comput. Sci.}, FJOURNAL = {Theoretical Computer Science}, VOLUME = 273, YEAR = 2002, NUMBER = {1-2}, PAGES = {249--261}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {68R15 (05Axx 11Kxx)}, MRNUMBER = {1 872 452}, } @article {MR1876274, AUTHOR = {Dartyge, C{\'e}cile and Mauduit, Christian}, TITLE = {Ensembles de densit\'e nulle contenant des entiers poss\'edant au plus deux facteurs premiers}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {91}, YEAR = {2001}, NUMBER = {2}, PAGES = {230--255}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11N36 (11A63)}, MRNUMBER = {1 876 274}, MRREVIEWER = {G. Greaves}, } @article {MR1830572, AUTHOR = {Mauduit, Christian}, TITLE = {Multiplicative properties of the {T}hue-{M}orse sequence}, JOURNAL = {Period. Math. Hungar.}, FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = {43}, YEAR = {2001}, NUMBER = {1-2}, PAGES = {137--153}, ISSN = {0031-5303}, CODEN = {PMHGAW}, MRCLASS = {11K65 (11B85)}, MRNUMBER = {1 830 572}, MRREVIEWER = {Michael Drmota}, } @article {MR2002c:11089, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On finite pseudorandom binary sequences. {V}{I}. {O}n $(n\sp k\alpha)$ sequences}, JOURNAL = {Monatsh. Math.}, FJOURNAL = {Monatshefte f\"ur Mathematik}, VOLUME = {130}, YEAR = {2000}, NUMBER = {4}, PAGES = {281--298}, ISSN = {0026-9255}, CODEN = {MNMTA2}, MRCLASS = {11K45 (11K31)}, MRNUMBER = {2002c:11089}, MRREVIEWER = {Peter J. Hellekalek}, } @article {MR2002c:11088, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On finite pseudorandom binary sequences. {V}. {O}n $(n\alpha)$ and $(n\sp 2\alpha)$ sequences}, JOURNAL = {Monatsh. Math.}, FJOURNAL = {Monatshefte f\"ur Mathematik}, VOLUME = {129}, YEAR = {2000}, NUMBER = {3}, PAGES = {197--216}, ISSN = {0026-9255}, CODEN = {MNMTA2}, MRCLASS = {11K31 (11K45)}, MRNUMBER = {2002c:11088}, MRREVIEWER = {Peter J. Hellekalek}, } @article {MR2002c:11087, AUTHOR = {Cassaigne, Julien and Ferenczi, S{\'e}bastien and Mauduit, Christian and Rivat, Jo{\"e}l and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On finite pseudorandom binary sequences. {I}{V}. {T}he {L}iouville function. {I}{I}}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {95}, YEAR = {2000}, NUMBER = {4}, PAGES = {343--359}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11K31 (11K45)}, MRNUMBER = {2002c:11087}, MRREVIEWER = {Peter J. Hellekalek}, } @article {MR2001k:11187, AUTHOR = {Konyagin, Sergei and Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On the number of prime factors of integers characterized by digit properties}, JOURNAL = {Period. Math. Hungar.}, FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = {40}, YEAR = {2000}, NUMBER = {1}, PAGES = {37--52}, ISSN = {0031-5303}, CODEN = {PMHGAW}, MRCLASS = {11N64 (11A63)}, MRNUMBER = {2001k:11187}, MRREVIEWER = {C{\'e}cile Dartyge}, } @incollection {MR2001i:11001, AUTHOR = {Mauduit, Christian}, TITLE = {Problem session dedicated to {G}\'erard {R}auzy}, BOOKTITLE = {Dynamical systems (Luminy-Marseille, 1998)}, PAGES = {1--19}, PUBLISHER = {World Sci. Publishing}, ADDRESS = {River Edge, NJ}, YEAR = {2000}, MRCLASS = {11-02 (11B85 11K16 37A45 37B10 68R15)}, MRNUMBER = {2001i:11001}, MRREVIEWER = {Jean-Paul Allouche}, } @article {MR2001f:11157, AUTHOR = {Dartyge, C{\'e}cile and Mauduit, Christian}, TITLE = {Nombres presque premiers dont l'\'ecriture en base $r$ ne comporte pas certains chiffres}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {81}, YEAR = {2000}, NUMBER = {2}, PAGES = {270--291}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11N36 (11A63)}, MRNUMBER = {2001f:11157}, MRREVIEWER = {G. Greaves}, } @article {MR2000g:28039, AUTHOR = {Iwanik, A. and Lema{\'n}czyk, M. and Mauduit, C.}, TITLE = {Piecewise absolutely continuous cocycles over irrational rotations}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {Journal of the London Mathematical Society. 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Hellekalek}, } @article {MR99m:11084, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On finite pseudorandom binary sequences. {I}{I}. {T}he {C}hampernowne, {R}udin-{S}hapiro, and {T}hue-{M}orse sequences, a further construction}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {73}, YEAR = {1998}, NUMBER = {2}, PAGES = {256--276}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11K31 (11K45)}, MRNUMBER = {99m:11084}, MRREVIEWER = {Peter J. Hellekalek}, } @article {mauduit97, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On finite pseudorandom binary sequences. {I}. {M}easure of pseudorandomness, the {L}egendre symbol}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = 82, YEAR = 1997, NUMBER = 4, PAGES = {365--377}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11K45 (11K36)}, MRNUMBER = {99g:11095}, MRREVIEWER = {Peter J. Hellekalek}, } @article {MR99e:11127, AUTHOR = {Erd{\H{o}}s, Paul and Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On arithmetic properties of integers with missing digits. {I}. {D}istribution in residue classes}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {70}, YEAR = {1998}, NUMBER = {2}, PAGES = {99--120}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11N69 (11K36 11L07 11L26 11N36 11N60 11P55)}, MRNUMBER = {99e:11127}, MRREVIEWER = {Yuri Bilu}, } @article {MR99a:11096, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\'a}s}, TITLE = {On the arithmetic structure of the integers whose sum of digits is fixed}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {81}, YEAR = {1997}, NUMBER = {2}, PAGES = {145--173}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11K65 (11A63)}, MRNUMBER = {99a:11096}, MRREVIEWER = {G{\'e}rald Tenenbaum}, } @article {MR98m:11079, AUTHOR = {Ferenczi, S{\'e}bastien and Mauduit, Christian}, TITLE = {Transcendence of numbers with a low complexity expansion}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {67}, YEAR = {1997}, NUMBER = {2}, PAGES = {146--161}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11J91 (11B83)}, MRNUMBER = {98m:11079}, MRREVIEWER = {Yao Chen Zhu}, } @incollection {MR98i:11014, AUTHOR = {Mauduit, C.}, TITLE = {Propri\'et\'es arithm\'etiques des substitutions}, BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, Paris, 1989--90}, PAGES = {177--190}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {1992}, MRCLASS = {11B85 (11K99)}, MRNUMBER = {98i:11014}, MRREVIEWER = {Jean-Paul Allouche}, } @incollection {MR98c:28023, AUTHOR = {Aaronson, Jon and Lema{\'n}czyk, Mariusz and Mauduit, Christian and Nakada, Hitoshi}, TITLE = {Koksma's inequality and group extensions of {K}ronecker transformations}, BOOKTITLE = {Algorithms, fractals, and dynamics (Okayama/Kyoto, 1992)}, PAGES = {27--50}, PUBLISHER = {Plenum}, ADDRESS = {New York}, YEAR = {1995}, MRCLASS = {28D15 (22D40)}, MRNUMBER = {98c:28023}, } @article {MR97k:11029, AUTHOR = {Fouvry, E. and Mauduit, C.}, TITLE = {Sommes des chiffres et nombres presque premiers}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {305}, YEAR = {1996}, NUMBER = {3}, PAGES = {571--599}, ISSN = {0025-5831}, CODEN = {MAANA}, MRCLASS = {11B85 (11A41 11N36 11N80)}, MRNUMBER = {97k:11029}, MRREVIEWER = {G{\'e}rald Tenenbaum}, } @article {MR97j:11046, AUTHOR = {Fouvry, E. and Mauduit, C.}, TITLE = {M\'ethodes de crible et fonctions sommes des chiffres}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {77}, YEAR = {1996}, NUMBER = {4}, PAGES = {339--351}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11N36}, MRNUMBER = {97j:11046}, MRREVIEWER = {G. Greaves}, } @article {MR97h:28005, AUTHOR = {Lesigne, Emmanuel and Mauduit, Christian}, TITLE = {Propri\'et\'es ergodiques des suites $q$-multiplicatives}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {100}, YEAR = {1996}, NUMBER = {2}, PAGES = {131--169}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {28D05 (11K31)}, MRNUMBER = {97h:28005}, MRREVIEWER = {Rita Giuliano Antonini}, } @article {MR97h:11022, AUTHOR = {Arnoux, Pierre and Mauduit, Christian}, TITLE = {Complexit\'e de suites engendr\'ees par des r\'ecurrences unipotentes}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = {76}, YEAR = {1996}, NUMBER = {1}, PAGES = {85--97}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11B85 (58F03)}, MRNUMBER = {97h:11022}, MRREVIEWER = {M. Mend{\`e}s France}, } @article {MR97g:11107, AUTHOR = {Mauduit, Christian and S{\'a}rk{\"o}zy, Andr{\`a}s}, TITLE = {On the arithmetic structure of sets characterized by sum of digits properties}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {61}, YEAR = {1996}, NUMBER = {1}, PAGES = {25--38}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11N60 (11K36 11N56)}, MRNUMBER = {97g:11107}, MRREVIEWER = {Yuri Bilu}, } @article {MR97b:58085, AUTHOR = {Ferenczi, S{\'e}bastien and Mauduit, Christian and Nogueira, Arnaldo}, TITLE = {Substitution dynamical systems: algebraic characterization of eigenvalues}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {29}, YEAR = {1996}, NUMBER = {4}, PAGES = {519--533}, ISSN = {0012-9593}, CODEN = {ASENAH}, MRCLASS = {58F11 (11K06 58F03)}, MRNUMBER = {97b:58085}, MRREVIEWER = {Thomas Ward}, } @article {mauduit95:_repar_n, AUTHOR = {Mauduit, Christian and Rivat, Jo{\"e}l}, TITLE = {R\'epartition des fonctions $q$-multiplicatives dans la suite $([n\sp c])\sb {n\in\bold {N}},\ c>1$}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = 71, YEAR = 1995, NUMBER = 2, PAGES = {171--179}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11N37 (11L40)}, MRNUMBER = {96g:11116}, MRREVIEWER = {Wolfgang Schwarz}, } @article {mauduit95:_repar_n, AUTHOR = {Mauduit, Christian and Rivat, Jo{\"e}l}, TITLE = {R\'epartition des fonctions $q$-multiplicatives dans la suite $([n\sp c])\sb {n\in\bold {N}},\ c>1$}, JOURNAL = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = 71, YEAR = 1995, NUMBER = 2, PAGES = {171--179}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11N37 (11L40)}, MRNUMBER = {96g:11116}, MRREVIEWER = {Wolfgang Schwarz}, } @article {MR96d:11085, AUTHOR = {Ferenczi, S{\'e}bastien and Kwiatkowski, Jan and Mauduit, Christian}, TITLE = {A density theorem for (multiplicity, rank) pairs}, JOURNAL = {J. Anal. Math.}, FJOURNAL = {Journal d'Analyse Math\'ematique}, VOLUME = {65}, YEAR = {1995}, PAGES = {45--75}, ISSN = {0021-7670}, CODEN = {JOAMAV}, MRCLASS = {11K55 (11B05 28D05)}, MRNUMBER = {96d:11085}, MRREVIEWER = {S. I. Bezugly{\u\i}}, } @article {MR95h:11075, AUTHOR = {Lesigne, E. and Mauduit, C. and Moss{\'e}, B.}, TITLE = {Le th\'eor\`eme ergodique le long d'une suite $q$-multiplicative}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {93}, YEAR = {1994}, NUMBER = {1}, PAGES = {49--79}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {11K31 (11K55 28D99)}, MRNUMBER = {95h:11075}, MRREVIEWER = {Rita Giuliano Antonini}, } @article {MR95c:58059, AUTHOR = {Arnoux, Pierre and Mauduit, Christian and Shiokawa, Iekata and Tamura, Jun-ichi}, TITLE = {Rauzy's conjecture on billiards in the cube}, JOURNAL = {Tokyo J. Math.}, FJOURNAL = {Tokyo Journal of Mathematics}, VOLUME = {17}, YEAR = {1994}, NUMBER = {1}, PAGES = {211--218}, ISSN = {0387-3870}, MRCLASS = {58F03 (11B99)}, MRNUMBER = {95c:58059}, MRREVIEWER = {M. Mend{\`e}s France}, } @article {MR94m:28028, AUTHOR = {Lema{\'n}czyk, Mariusz and Mauduit, Christian}, TITLE = {Ergodicity of a class of cocycles over irrational rotations}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {Journal of the London Mathematical Society. Second Series}, VOLUME = {49}, YEAR = {1994}, NUMBER = {1}, PAGES = {124--132}, ISSN = {0024-6107}, CODEN = {JLMSAK}, MRCLASS = {28D05}, MRNUMBER = {94m:28028}, MRREVIEWER = {G. R. Goodson}, } @article {MR94m:11028, AUTHOR = {Arnoux, Pierre and Mauduit, Christian and Shiokawa, Iekata and Tamura, Jun-ichi}, TITLE = {Complexity of sequences defined by billiard in the cube}, JOURNAL = {Bull. Soc. Math. France}, FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France}, VOLUME = {122}, YEAR = {1994}, NUMBER = {1}, PAGES = {1--12}, ISSN = {0037-9484}, CODEN = {BSMFAA}, MRCLASS = {11B85 (05B45 58F03)}, MRNUMBER = {94m:11028}, MRREVIEWER = {M. Mend{\`e}s France}, } @book {MR94h:00021, TITLE = {Number theory, combinatorics and applications to computer science}, EDITOR = {Mauduit, C. and Nicolas, J.-L.}, NOTE = {Selected papers from the Tenth Conference on Mathematics-Computer Science held in Marseille, October 14--16, 1991, Theoret. Comput. Sci. {\bf 123} (1994), no. 1}, PUBLISHER = {Elsevier Science Publishers B.V.}, ADDRESS = {Amsterdam}, YEAR = {1994}, PAGES = {i--ii and 1--181}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {00B25}, MRNUMBER = {94h:00021}, } @book {MR92m:68003, TITLE = {Discrete mathematics and applications to computer science}, EDITOR = {Mauduit, C.}, NOTE = {Papers from the Eighth Conference on Mathematics and Informatics held in Marseille, October 19--21, 1989, Theoret. Comput. Sci. {\bf 94} (1992), no. 2}, PUBLISHER = {Elsevier Science Publishers B.V.}, ADDRESS = {Amsterdam}, YEAR = {1992}, PAGES = {i--ii and 159--393}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {68-06 (68Rxx)}, MRNUMBER = {92m:68003}, } @article {MR92a:11088, AUTHOR = {Mauduit, Christian and Moss{\'e}, Brigitte}, TITLE = {Suites de ${G}\sb q$-orbite finie}, JOURNAL = {Acta Arith.}, FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica}, VOLUME = {57}, YEAR = {1991}, NUMBER = {1}, PAGES = {69--82}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11K16}, MRNUMBER = {92a:11088}, MRREVIEWER = {M. Mend{\`e}s France}, } @incollection {MR91i:11090, AUTHOR = {Mauduit, Christian}, TITLE = {Substitutive normal sets}, BOOKTITLE = {Number theory, Vol.\ I (Budapest, 1987)}, PAGES = {317--323}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1990}, MRCLASS = {11K16}, MRNUMBER = {91i:11090}, MRREVIEWER = {Pierre Liardet}, } @article {MR90b:11075, AUTHOR = {Mauduit, Christian}, TITLE = {Caract\'erisation des ensembles normaux substitutifs}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {95}, YEAR = {1989}, NUMBER = {1}, PAGES = {133--147}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {11K16 (11K06 11K26 68Q45)}, MRNUMBER = {90b:11075}, MRREVIEWER = {B. Volkmann}, } @article {MR89j:11073, AUTHOR = {Mauduit, Christian}, TITLE = {Sur l'ensemble normal des substitutions de longueur quelconque}, JOURNAL = {J. Number Theory}, FJOURNAL = {Journal of Number Theory}, VOLUME = {29}, YEAR = {1988}, NUMBER = {3}, PAGES = {235--250}, ISSN = {0022-314X}, CODEN = {JNUTA9}, MRCLASS = {11K06 (54H20)}, MRNUMBER = {89j:11073}, MRREVIEWER = {F. Schweiger}, } @incollection {MR89j:11072, AUTHOR = {Mauduit, Christian}, TITLE = {Substitutions et \'equir\'epartition modulo $1$}, BOOKTITLE = {Colloque de Th\'eorie Analytique des Nombres ``Jean Coquet'' (Marseille, 1985)}, PAGES = {85--89}, PUBLISHER = {Univ. Paris XI}, ADDRESS = {Orsay}, YEAR = {1988}, MRCLASS = {11K06 (54H20 68Q45)}, MRNUMBER = {89j:11072}, MRREVIEWER = {F. Schweiger}, } @article {MR89g:11068, AUTHOR = {Mauduit, Christian and Moss{\'e}, Brigitte}, TITLE = {\'{E}tude spectrale de la multiplication $q$-adique}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {67}, YEAR = {1988}, NUMBER = {2}, PAGES = {129--147}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {11K41 (42C99)}, MRNUMBER = {89g:11068}, MRREVIEWER = {M. Iosifescu}, } @incollection {MR88k:11045, AUTHOR = {Mauduit, Christian}, TITLE = {Sur l'ensemble normal des suites substitutives}, BOOKTITLE = {S\'eminaire de th\'eorie des nombres, 1985--1986 (Talence, 1985--1986)}, PAGES = {Exp.\ No.\ 26, 6}, PUBLISHER = {Univ. Bordeaux I}, ADDRESS = {Talence}, YEAR = {1986}, MRCLASS = {11K06}, MRNUMBER = {88k:11045}, MRREVIEWER = {H. G. Meijer}, } @article {MR88e:68068, AUTHOR = {Mauduit, Christian}, TITLE = {Morphismes unispectraux}, JOURNAL = {Theoret. Comput. Sci.}, FJOURNAL = {Theoretical Computer Science}, VOLUME = {46}, YEAR = {1986}, NUMBER = {1}, PAGES = {1--11}, ISSN = {0304-3975}, CODEN = {TCSDI}, MRCLASS = {68Q45 (20M35)}, MRNUMBER = {88e:68068}, MRREVIEWER = {Dani{\`e}le Beauquier}, } @article {MR87h:11071, AUTHOR = {Mauduit, Christian}, TITLE = {Automates finis et ensembles normaux}, JOURNAL = {Ann. Inst. Fourier (Grenoble)}, FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier}, VOLUME = {36}, YEAR = {1986}, NUMBER = {2}, PAGES = {1--25}, ISSN = {0373-0956}, CODEN = {AIFUA7}, MRCLASS = {11K16 (68Q70)}, MRNUMBER = {87h:11071}, MRREVIEWER = {F. Schweiger}, } @article {MR85i:11066, AUTHOR = {Mauduit, Christian}, TITLE = {Automates finis et \'equir\'epartition modulo $1$}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.}, FJOURNAL = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. 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Probab.}, FJOURNAL = {The Annals of Applied Probability}, VOLUME = 10, YEAR = 2000, NUMBER = 4, PAGES = {1212--1245}, ISSN = {1050-5164}, MRCLASS = {60K35 (82B44 82C44)}, MRNUMBER = {2002e:60158}, MRREVIEWER = {Paolo Dai Pra}, } @article {archer00, AUTHOR = {Archer, Aaron F.}, TITLE = {On the upper chromatic numbers of the reals}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = 214, YEAR = 2000, NUMBER = {1-3}, PAGES = {65--75}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05D10 (05C15)}, MRNUMBER = {2001c:05140}, MRREVIEWER = {Bruce Landman}, } @article {luczak00, AUTHOR = {{\L}uczak, Tomasz}, TITLE = {On triangle-free random graphs}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = 16, YEAR = 2000, NUMBER = 3, PAGES = {260--276}, ISSN = {1042-9832}, MRCLASS = {05C80}, MRNUMBER = {2000m:05212}, MRREVIEWER = {Lyuben R. Mutafchiev}, } @article {haxell99:_packin, AUTHOR = {Haxell, P. E.}, TITLE = {Packing and covering triangles in graphs}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = 195, YEAR = 1999, NUMBER = {1-3}, PAGES = {251--254}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05C70}, MRNUMBER = {99h:05091}, } @article {haxell97:_partit, AUTHOR = {Haxell, P. E.}, TITLE = {Partitioning complete bipartite graphs by monochromatic cycles}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = 69, YEAR = 1997, NUMBER = 2, PAGES = {210--218}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C10 (05C15 05C38 05C70)}, MRNUMBER = {98e:05029}, MRREVIEWER = {Stanislav Jendrol'}, } @article {ishigami02:_proof_bollob_kohay_erd_stone, AUTHOR = {Ishigami, Yoshiyasu}, TITLE = {Proof of a conjecture of {B}ollob\'as and {K}ohayakawa on the {E}rd{\H o}s-{S}tone theorem}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = 85, YEAR = 2002, NUMBER = 2, PAGES = {222--254}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C35}, MRNUMBER = {2003h:05113}, } @article {alon01:_ramsey, AUTHOR = {Alon, Noga and Pach, J{\'a}nos and Solymosi, J{\'o}zsef}, TITLE = {Ramsey-type theorems with forbidden subgraphs}, NOTE = {Paul Erd{\H o}s and his mathematics (Budapest, 1999)}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = 21, YEAR = 2001, NUMBER = 2, PAGES = {155--170}, ISSN = {0209-9683}, MRCLASS = {05C55 (05D10)}, MRNUMBER = {2002b:05103}, MRREVIEWER = {Andr{\'a}s Gy{\'a}rf{\'a}s}, } @article {maclean01:_random, AUTHOR = {Maclean, C. F. and O'Connell, Neil}, TITLE = {Random finite topologies and their thresholds}, JOURNAL = {Combin. Probab. 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Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = 21, YEAR = 2000, NUMBER = 8, PAGES = {1057--1066}, ISSN = {0195-6698}, MRCLASS = {05C80 (05C25 20D15)}, MRNUMBER = {2002j:05135}, } @article {nagle03:_regul, AUTHOR = {Nagle, Brendan and R{\"o}dl, Vojt{\v{e}}ch}, TITLE = {Regularity properties for triple systems}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = 23, YEAR = 2003, NUMBER = 3, PAGES = {264--332}, ISSN = {1042-9832}, MRCLASS = {05B07}, MRNUMBER = {1 999 038}, } @article {seppaelaeinen01:_secon_k, AUTHOR = {Sepp{\"a}l{\"a}inen, Timo}, TITLE = {Second class particles as microscopic characteristics in totally asymmetric nearest-neighbor {$K$}-exclusion processes}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = 353, YEAR = 2001, NUMBER = 12, PAGES = {4801--4829 (electronic)}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {60K35 (82C22)}, MRNUMBER = {2003f:60180}, MRREVIEWER = {Dimitri Petritis}, } @article {kesten00:_some_ab, AUTHOR = {Kesten, Harry and Su, Zhonggen}, TITLE = {Some remarks on {$AB$}-percolation in high dimensions}, NOTE = {Probabilistic techniques in equilibrium and nonequilibrium statistical physics}, JOURNAL = {J. Math. Phys.}, FJOURNAL = {Journal of Mathematical Physics}, VOLUME = 41, YEAR = 2000, NUMBER = 3, PAGES = {1298--1320}, ISSN = {0022-2488}, CODEN = {JMAPAQ}, MRCLASS = {82B43 (60K35)}, MRNUMBER = {2001k:82052}, MRREVIEWER = {Rahul Roy}, } @article {bertram-kretzberg99:_spars, AUTHOR = {Bertram-Kretzberg, Claudia and Hofmeister, Thomas and Lefmann, Hanno}, TITLE = {Sparse {$0$}-{$1$} matrices and forbidden hypergraphs}, JOURNAL = {Combin. Probab. 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Garrison}, DOI = {10.2307/2160407}, URL = {http://dx.doi.org/10.2307/2160407}, } @article {green01:_number_of_squar, author = {Green, Ben}, title = {The number of squares and {$B\sb h[g]$} sets}, journal = {Acta Arith.}, FJOURNAL = {Acta Arithmetica}, VOLUME = 100, year = 2001, NUMBER = 4, PAGES = {365--390}, ISSN = {0065-1036}, CODEN = {AARIA9}, MRCLASS = {11B83}, MRNUMBER = {MR1862059 (2003d:11033)}, MRREVIEWER = {Mihail N. Kolountzakis}, DOI = {10.4064/aa100-4-6}, URL = {http://dx.doi.org/10.4064/aa100-4-6}, } @article{obryant04:_biblio_Sidon, author="O'Bryant, Kevin", title="{A complete annotated bibliography of work related to Sidon sequences}", language="English", journal = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, year = 2004, PAGES = {Dynamic surveys 11, 39 pp.\ (electronic)}, ISSN = {1077-8926}, abstract="{Summary: A Sidon sequence is a sequence of integers $a_1<a_2<\dots$ with the property that the sums $a_i+a_j$ ($i\le j$) are distinct. This work contains a survey of Sidon sequences and their generalizations, and an extensive annotated and hyperlinked bibliography of related work.}", classmath="{*11B50 (Sequences (mod m)) 11B83 (Special sequences of integers and polynomials) 05B10 (Difference sets) }", } @article {erdoes41:_probl_of_sidon, author = {Erd{\H o}s, P. and Tur{\'a}n, P.}, title = {On a problem of {S}idon in additive number theory, and on some related problems}, journal = {J. London Math. Soc.}, FJOURNAL = {Journal of the London Mathematical Society. Second Series}, VOLUME = 16, year = 1941, PAGES = {212--215}, ISSN = {0024-6107}, MRCLASS = {10.0X}, MRNUMBER = {MR0006197 (3,270e)}, MRREVIEWER = {B. W. Jones}, } @article {erdoes44:_probl_of_sidon, author = {Erd{\H o}s, P.}, title = {On a problem of {S}idon in additive number theory and on some related problems. {A}ddendum}, journal = {J. London Math. Soc.}, FJOURNAL = {Journal of the London Mathematical Society. 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Estermann}, } @article {kim00:_concen_of_multiv_polyn, author = {Kim, Jeong Han and Vu, Van H.}, title = {Concentration of multivariate polynomials and its applications}, journal = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = 20, year = 2000, NUMBER = 3, PAGES = {417--434}, ISSN = {0209-9683}, MRCLASS = {05C80 (60C05)}, MRNUMBER = {MR1774845 (2002b:05123)}, MRREVIEWER = {Tomasz J. {\L}uczak}, DOI = {10.1007/s004930070014}, URL = {http://dx.doi.org/10.1007/s004930070014}, } @Unpublished{conlon:_theor_in_spars_random, author = {Conlon, D. and Gowers, W. T.}, title = {Combinatorial theorems in sparse random sets}, note = {submitted, 70pp}, OPTkey = {}, OPTmonth = {}, year = {2010}, OPTannote = {} } @article{trevisan09:_addit_combin_and_TCS, author = {Luca Trevisan}, title = {Guest column: additive combinatorics and theoretical computer science}, journal = {SIGACT News}, volume = {40}, number = {2}, year = {2009}, pages = {50-66}, ee = {http://doi.acm.org/10.1145/1556154.1556170}, bibsource = {DBLP, http://dblp.uni-trier.de} } @proceedings{DBLP:conf/focs/2008, title = {49th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2008, October 25-28, 2008, Philadelphia, PA, USA}, booktitle = {FOCS}, publisher = {IEEE Computer Society}, year = {2008}, bibsource = {DBLP, http://dblp.uni-trier.de} } @inproceedings{reingold08:_dense_subsets, author = {Omer Reingold and Luca Trevisan and Madhur Tulsiani and Salil P. Vadhan}, title = {Dense Subsets of Pseudorandom Sets}, booktitle = {FOCS}, year = 2008, pages = {76-85}, ee = {http://dx.doi.org/10.1109/FOCS.2008.38}, bibsource = {DBLP, http://dblp.uni-trier.de} } @article{reingold08:_dense_subsets.ECCC, author = {Omer Reingold and Luca Trevisan and Madhur Tulsiani and Salil P. Vadhan}, title = {Dense Subsets of Pseudorandom Sets}, journal = {Electronic Colloquium on Computational Complexity (ECCC)}, volume = 15, number = 045, year = 2008, ee = {http://eccc.hpi-web.de/eccc-reports/2008/TR08-045/index.html}, bibsource = {DBLP, http://dblp.uni-trier.de} } @Unpublished{AKSV, author = {P. Allen and P. Keevash and B. Sudakov and J. Verstra\"ete}, title = {Extremal theorems in {$K_{s,t}$}-free graphs}, note = {in preparation}, OPTkey = {}, OPTmonth = {}, OPTyear = {}, OPTannote = {} } @InProceedings{hoppen10:_proper, author = {C. Hoppen and Y. Kohayakawa and C. G. Moreira and R. M. Sampaio}, title = {Property testing and parameter testing for permutations}, OPTcrossref = {}, OPTkey = {}, booktitle = {Proceedings of the 21st Annual {ACM}--{SIAM} Symposium on Discrete Algorithms (SODA 2010)}, year = {2010}, location = {Austin, TX}, pages = {66--75}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Philadelphia, PA, USA}, OPTmonth = {}, OPTorganization = {}, publisher = {Society for Industrial and Applied Mathematics}, OPTnote = {}, OPTannote = {} } @Article{hoppen09+:_limits, author = {C. Hoppen and Y. Kohayakawa and C. G. Moreira and B. Rath and R. M. Sampaio}, title = {Limits of Permutation Sequences}, journal = {}, year = {}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTpages = {}, OPTmonth = {}, note = {submitted}, OPTannote = {Submitted on 4 Nov 2009; revision submitted 27 March 2011} } @Article{hoppen09+:_limits:OLD, author = {C. Hoppen and Y. Kohayakawa and C. G. Moreira and R. M. Sampaio}, title = {Limits of Permutation Sequences}, journal = {}, year = {}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTpages = {}, OPTmonth = {}, note = {submitted}, OPTannote = {} } @misc{kohayakawa10:_trig_remove_pseudo, author={Kohayakawa, Y. and R\"odl, V. and Schacht, M. and Skokan, J.}, title="{On the triangle removal lemma for subgraphs of sparse pseudorandom graphs}", language="English", howpublished="{B\'ar\'any, Imre (ed.) et al., An irregular mind. Szmer\'edi is 70. Dedicated to Endre Szemer\'edi on the occasion of his seventieth birthday. Berlin: Springer. Bolyai Society Mathematical Studies 21, 359-404 (2010).}", year="2010", abstract="{Summary: We study an extension of the triangle removal lemma of {\it I. Z. Ruzsa} and {\it E. Szemer\'edi} [``Triple systems with no six points carrying three triangles,'' Combinatorics, Keszthely 1976, Colloq. Math. Soc. J\'anos Bolyai 18, 939--945 (1978; Zbl 0393.05031)], which gave rise to a purely combinatorial proof of the fact that sets of integers of positive upper density contain three-term arithmetic progressions, a result first proved by {\it K. F. Roth} [J. Lond. Math. Soc. 28, 104--109 (1953; Zbl 0050.04002)].\par We obtain a generalization of the triangle removal lemma for subgraphs of sparse pseudorandom graphs and deduce the following version of Roth's theorem, which applies to sparse sets of integers: If $A\subseteq[n]= \{1,\dots, n\}$ has the property that all non-trivial Fourier coefficients $\lambda$ of the indicator function $\text{\bf 1}_A: [n]\to\{0,1\}$ satisfy $|\lambda|= o(|A|^3/n^2)$, then any subset $B\subseteq A$ that contains no three-term arithmetic progression satisfies $|B|= o(|A|)$.}", classmath="{*05C80 (Random graphs) }", } @InCollection{kohayakawa10:_trig_remove_pseudo:OLD, author = {Kohayakawa, Y. and R\"odl, V. and Schacht, M. and Skokan, J.}, title = {On the triangle removal lemma for subgraphs of sparse pseudorandom graphs}, booktitle = {Endre Szemer\'edi's Festschrift}, OPTcrossref = {}, OPTkey = {}, OPTpages = {}, OPTpublisher = {}, OPTyear = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTtype = {}, OPTchapter = {}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, note = {to appear}, OPTannote = {} } @Unpublished{aldous10:_more_uses_of_exchan, author = {David J. Aldous}, title = {More Uses of Exchangeability: Representations of Complex Random Structures}, note = {to appear in ``Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman''. Cambridge University Press, 2010. 31 pages (\texttt{http://arxiv.org/abs/0909.4339})}, OPTkey = {}, OPTmonth = {}, OPTyear = {}, OPTannote = {} } @article {austin08:_exchan_rvs, AUTHOR = {Austin, Tim}, TITLE = {On exchangeable random variables and the statistics of large graphs and hypergraphs}, JOURNAL = {Probab. 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Series B}, VOLUME = 75, year = 1999, NUMBER = 2, PAGES = {174--187}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C55 (05C35 05C38)}, MRNUMBER = {MR1676887 (2000b:05096)}, MRREVIEWER = {Sheshayya A. Choudum}, DOI = {10.1006/jctb.1998.1874}, URL = {http://dx.doi.org/10.1006/jctb.1998.1874}, } @incollection {mcdiarmid98:_concen, AUTHOR = {McDiarmid, Colin}, TITLE = {Concentration}, BOOKTITLE = {Probabilistic methods for algorithmic discrete mathematics}, SERIES = {Algorithms Combin.}, VOLUME = 16, PAGES = {195--248}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = 1998, MRCLASS = {60E15 (68R01)}, MRNUMBER = {MR1678578 (2000d:60032)}, MRREVIEWER = {G. Schechtman}, } @article {green05:_roths_in_primes, author = {Green, Ben}, title = {Roth's theorem in the primes}, journal = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, volume = 161, year = 2005, NUMBER = 3, PAGES = {1609--1636}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {11N13 (11B25)}, MRNUMBER = {2180408 (2007a:11136)}, MRREVIEWER = {Mei Chu Chang}, DOI = {10.4007/annals.2005.161.1609}, URL = {http://dx.doi.org/10.4007/annals.2005.161.1609}, } @InProceedings{kohayakawa11:_sidon_set.SODA, author = {Kohayakawa, Y. and Lee, S. and R\"odl, V.}, title = {The maximum size of a {S}idon set contained in a sparse random set of integers}, OPTcrossref = {}, OPTkey = {}, booktitle = {Proceedings of the 22nd Annual {ACM}--{SIAM} Symposium on Discrete Algorithms (SODA 2011)}, pages = {159--171}, year = {2011}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Philadelphia, PA, USA}, OPTmonth = {}, OPTorganization = {}, publisher = {Society for Industrial and Applied Mathematics}, OPTnote = {to appear}, OPTannote = {} } @article {bohman10:_aR_rgs, author = {Bohman, Tom and Frieze, Alan and Pikhurko, Oleg and Smyth, Cliff}, title = {Anti-{R}amsey properties of random graphs}, journal = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = 100, year = 2010, NUMBER = 3, PAGES = {299--312}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C80 (05C55 60C05)}, MRNUMBER = 2595673, DOI = {10.1016/j.jctb.2009.09.002}, URL = {http://dx.doi.org/10.1016/j.jctb.2009.09.002}, } @article {komlos75:_linear_probl, author = {Koml{\'o}s, J. and Sulyok, M. and Szemeredi, E.}, title = {Linear problems in combinatorial number theory}, journal = {Acta Math. Acad. Sci. Hungar.}, FJOURNAL = {Acta Mathematica Academiae Scientiarum Hungaricae}, volume = 26, year = 1975, PAGES = {113--121}, ISSN = {0001-5954}, MRCLASS = {10A99}, MRNUMBER = {0364087 (51 \#342)}, MRREVIEWER = {S. L. G. Choi}, } @article {bollobas87:_thres_funct, author = {Bollob{\'a}s, B. and Thomason, A.}, title = {Threshold functions}, journal = {Combinatorica}, FJOURNAL = {Combinatorica. 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