============================================================ Seminário de Teoria da Computação e Combinatória (TCC) ============================================================ Titulo: Large planar subgraphs and rapidly growing numbers of edges Palestrante: Andreas Würfl Technische Universität München Hora e Data: 14h00, sexta-feira, 12 de março de 2010 Local: auditório do NUMEC Resumo: Let pl(n,d) denote the maximum number m such that every graph G on n vertices with the minimum degree d contains a planar subgraph of m edges. We shall study the behaviour of pl(n,d) near d=n/2. At this point we observe rapid change: while pl(n,n/2)=2n we believe that pl(n,n/2+1) =2.5 n.