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1 Summing 1 Suppose 36 Supposing 1 Sz 1 Szemer 6 T 7 Take 1 Taking 1 TeXbook 1 Th 1 The 44 Then 35 Theorem 17 Theory 5 There 3 Therefore 10 This 9 Threshold 1 Thus 46 To 15 Trans 1 Triangles 1 Tur 8 Turan 1 Tutte 1 Tuza 1 U 2 USA 1 Unfortunately 2 Universidade 1 University 3 Using 3 V 7 Vergnas 1 Vertices 1 Vizing 1 Volume 1 W 2 We 98 When 1 Write 2 Y 5 Z 3 Zs 1 a 204 about 1 above 46 absolute 2 adding 2 addition 1 adjacencies 1 adjacent 6 adjusting 1 admit 1 admits 3 adversary 7 after 1 aim 10 all 90 allows 1 almost 31 already 1 also 20 although 2 always 1 amsppt 1 amu 1 an 69 analyse 2 and 396 another 1 any 75 ao 4 appearing 1 appears 1 application 2 applied 1 applies 3 apply 10 approaches 1 appropriate 1 approximation 1 arbitrarily 9 arbitrary 2 are 87 area 1 argue 1 argument 5 arithmetic 1 around 1 as 94 ask 5 asked 1 asking 1 assertion 7 assertions 3 assignment 1 assume 25 assuming 3 assumption 2 assumptions 2 asymptotic 3 asz 1 at 76 atica 1 ator 1 attention 3 author 3 auxiliary 2 avoid 1 b 7 bad 20 balanced 5 based 5 basic 1 be 117 because 1 been 2 before 5 being 3 belong 4 belongs 2 below 18 between 4 bigger 1 binomial 9 binomially 1 bipartite 6 bipartition 1 both 4 bound 10 bounds 2 br 1 brief 1 but 5 by 77 c 4 called 1 candidates 1 cardinality 13 careful 1 carefully 1 case 14 cases 1 celebrated 1 certain 6 cf 5 check 8 choice 8 choices 3 choose 4 chosen 8 chromatic 1 claim 13 claimed 2 claims 1 clarity 1 class 1 classes 3 classical 1 clear 1 clearly 9 cliques 1 close 5 coinciding 1 collection 3 colour 1 colouring 1 colours 1 combining 1 comments 1 common 3 comparing 1 complete 9 completed 1 completes 2 completing 4 concentrate 1 concentrates 1 concepts 1 concerned 1 concerning 15 concerns 1 conclude 5 concludes 1 concrete 1 condition 12 conditional 1 conditioned 3 conditioning 2 conditions 6 confined 1 conjecture 6 connected 27 connection 1 consequence 2 consequently 1 consider 6 considerably 1 consideration 1 consists 1 constant 22 constants 10 construct 1 contain 8 contained 2 containing 2 contains 14 content 1 context 1 contradicting 3 contradiction 5 contrary 1 contributes 1 convenience 4 convenient 2 copies 7 copy 12 corollary 3 correlated 1 corresponds 1 counting 2 course 3 cover 1 covered 1 creates 1 crucial 1 crudely 1 current 1 customary 1 cycle 5 cycles 5 d 16 de 2 dealing 1 decide 2 dedicated 1 deduce 15 deduced 2 deducing 1 deeper 1 define 4 defined 5 definition 5 definitions 3 degree 8 deletion 2 deletions 1 denote 2 denotes 2 densest 1 density 15 depend 1 depends 6 des 1 describe 5 described 1 description 1 detail 1 details 2 determine 1 determined 4 deterministic 1 deviation 3 deviations 1 devoted 2 differ 1 difficulty 1 dimensional 1 direct 1 directly 1 discuss 1 discussed 1 disjoint 9 disregard 1 distinct 13 distributed 4 distribution 8 do 8 does 10 done 1 e 5 each 9 easily 4 easy 2 edge 21 edges 48 edi 6 edu 3 effect 1 either 1 element 6 elementary 1 elements 6 else 3 em 2 emes 1 emory 2 empty 2 endvertex 1 endvertices 6 enough 11 ensures 1 entirely 1 entries 1 eorie 1 eqno 2 equally 1 equitable 8 equivalence 1 equivalent 1 equivalently 2 essentially 3 estimate 14 estimates 1 estimating 1 et 1 even 4 event 5 events 3 every 20 ex 1 example 1 exceptional 1 exist 4 existence 4 exists 6 expanding 1 expectation 1 expected 7 exponential 1 extended 1 extension 1 extra 1 extremal 7 extremely 1 f 2 fact 12 factor 1 facts 1 fail 2 fails 6 family 3 far 3 fast 1 faulty 8 few 7 fewer 2 finally 3 find 1 finish 3 finishes 1 first 16 fix 11 fixed 28 focus 1 follow 1 following 29 follows 27 for 226 forbidden 1 forbidding 2 forced 2 forest 1 forests 1 form 6 formalise 1 formed 1 forms 1 formulate 1 four 1 free 16 freely 1 from 42 full 2 function 1 functions 2 further 5 furthermore 2 g 3 general 6 generate 16 generated 3 generating 4 generation 1 girth 1 give 8 given 49 gives 6 grant 1 graph 75 graphs 59 greater 1 hand 3 handle 1 has 16 have 89 he 1 hence 20 here 4 high 1 him 2 hold 11 holds 35 however 1 hypercube 2 hypergeometric 1 hypothesis 1 i 15 ics 1 idea 1 if 74 ignore 1 ii 14 iii 5 immediate 3 immediately 3 implies 4 imply 3 important 2 in 206 incident 4 increasing 1 ind 1 indebted 1 indeed 3 independence 1 independent 9 independently 2 indicator 2 indices 2 indirect 1 induce 1 induced 9 induces 1 inducing 1 induction 2 inequalities 5 inequality 10 ingredient 1 inspired 1 instance 2 integer 6 integers 4 interest 2 interested 2 intersects 3 into 5 introduce 4 introduced 1 investigate 1 investigates 1 investigating 1 invoke 1 involving 1 is 292 isomorphic 1 it 19 its 11 itself 2 iv 6 join 1 joins 2 k 1 key 4 know 1 known 1 labelling 1 large 47 larger 5 last 10 later 3 least 38 leave 1 left 1 lemma 39 lemmas 3 length 2 less 1 let 69 letting 4 lies 1 likely 1 little 6 long 4 look 1 loosely 1 lower 4 m 2 made 1 main 8 make 5 makes 2 manuscript 1 many 2 map 1 matching 4 matchings 2 maximal 3 maximum 3 may 45 mean 2 measure 1 meeting 1 member 1 mention 1 method 7 middle 1 might 1 models 1 modulo 1 more 5 moreover 6 most 38 much 4 must 2 n 1 namely 2 naturally 2 necessarily 4 need 6 needed 1 negligible 1 neighbourhood 10 neighbourhoods 3 neighbours 1 new 1 next 10 no 11 non 4 not 32 notation 10 note 17 nothing 3 notice 3 notion 1 now 53 nski 3 number 46 numbers 1 numerical 1 observation 3 observe 4 observing 1 obtain 8 obvious 1 obviously 1 odd 1 odl 7 of 409 often 1 omit 1 omitted 1 on 41 once 3 one 11 only 16 onyi 1 or 14 order 8 ordering 4 organised 1 os 13 osa 1 other 3 otherwise 4 our 53 ourselves 1 out 2 outline 1 over 9 p 10 pair 21 pairs 18 pairwise 6 paragraph 2 parameters 3 part 3 partially 2 particular 7 partite 8 partition 13 partitions 1 parts 1 path 4 phes 1 pick 6 picking 1 piece 2 pivotal 3 pl 1 plenty 3 poor 15 position 1 positive 2 positively 1 possible 2 potentially 1 precise 5 precisely 2 preliminary 1 present 2 preserving 1 previous 2 probability 41 problem 7 problems 2 proceed 7 process 1 progressions 1 proof 50 proper 1 properties 6 property 8 proportion 2 prove 17 proved 8 proves 2 provided 1 proving 3 pseudo 4 pt 2 purposes 1 put 16 puts 1 putting 1 quadruples 2 quantity 2 quasi 5 question 4 quite 1 r 2 raised 1 random 45 randomly 7 ranges 1 rather 2 reading 1 ready 2 real 4 reals 3 reasonably 1 reasons 1 recall 5 recalling 1 recovers 1 refer 1 reference 1 refers 1 regular 14 regularity 4 regularly 1 related 1 relates 1 relation 2 relative 2 relevant 2 remainder 2 remark 3 remarked 1 remedies 1 removing 1 replace 1 replaced 3 required 6 respect 3 respecting 1 respectively 1 rest 4 restated 1 restrict 3 restriction 1 result 16 results 11 right 2 ril 4 rodl 1 roughly 2 s 15 said 2 same 3 satisfies 10 satisfy 3 satisfying 6 saw 1 say 22 says 1 second 2 section 12 sections 1 see 17 seem 3 seen 1 selected 1 selecting 2 sense 1 sequel 9 sequence 3 set 49 sets 16 setting 1 settled 1 several 2 shall 22 share 1 short 3 shorter 1 should 9 show 18 shows 2 side 3 similar 5 similarly 2 simple 11 simpler 2 simplicity 6 simplify 1 simply 4 since 20 single 2 situation 1 size 9 sketch 1 small 10 smaller 1 so 6 solely 1 solution 1 some 18 somewhat 1 space 2 span 3 spanned 1 spanning 2 spans 1 spare 3 sparse 6 sparser 1 speak 1 speaking 2 spirit 4 split 1 splits 1 stand 1 standard 3 stands 5 start 2 state 6 statement 9 states 2 step 2 steps 2 stica 1 strategy 1 strong 1 stronger 1 structural 1 structure 2 studied 1 study 4 subgraph 22 subgraphs 12 submitted 1 subset 4 subsets 2 such 76 suffices 8 sufficiently 10 suitably 5 sum 6 summand 2 summands 1 summing 1 sums 1 superexponential 1 support 1 supported 3 suppose 10 supposed 1 sure 2 surely 14 symmetric 1 symmetry 1 tacitly 1 tail 1 tails 1 take 3 taken 4 technical 8 technique 1 tells 2 tend 2 tending 1 term 2 terms 2 than 15 that 374 the 417 then 41 theorem 7 theory 2 there 25 thereby 1 therefore 3 these 8 they 6 third 1 this 49 those 2 three 3 thresholds 1 thus 2 to 139 together 1 tomasz 2 too 10 tree 1 triangle 5 triangles 17 tripartite 5 tripartition 4 triple 4 trivial 1 trivially 5 true 3 try 1 tuples 1 turn 2 turns 1 two 25 type 1 typical 1 uczak 7 ul 1 unbalanced 2 under 3 unduly 1 unexpectedly 2 uniform 10 uniformity 1 uniformly 5 union 4 universality 1 unlikely 1 unordered 2 unusable 3 unweighted 1 up 1 upper 15 uredi 2 us 63 use 11 used 10 using 2 usp 1 usual 3 v 4 value 3 values 1 variable 1 variables 2 variant 4 vectors 2 verify 3 version 7 vertex 35 vertices 61 very 10 view 1 visiting 1 was 9 way 3 we 206 weak 2 weighted 4 weights 2 well 4 were 2 what 4 when 4 whenever 4 where 41 whether 3 which 43 while 3 whose 4 why 1 will 15 wish 1 with 123 within 5 without 1 words 2 work 2 would 5 write 31 writing 1 x 1 yoshi 1 Numero de palavras lidas = 9885 Numero de comparacoes feitas = 97794 Numero medio de comparacoes feitas por palavra lida = 9.893171 Numero de palavras distintas = 1125 Profundidade da arvore = 23 Profundidade media dos nos da arvore = 12.719111