============================================================ Seminário de Teoria da Computação e Combinatória (TCC) ============================================================ Título: Tiling with triangles Palestrante: Julia Boettcher Data: sexta, 09 de outubro de 2009, 14h00 Local: Auditório do NUMEC Resumo: A well-known theorem of Erdos and Gallai answers the following question: How many edges does a graph need in order to guarantee a matching of a certain size? More precisely, for all values of n and k, what is the smallest number e(n,k) such that any graph G on n vertices and with e(n,k) edges contains a matching with k edges? We consider the analogous question for vertex disjoint triangles in G (instead of matching edges). Joint work with Peter Allen, Jan Hladky, and Diana Piguet.