A Density Corradi-Hajnal Theorem

作者:Allen Peter*; Boettcher Julia; Hladky Jan; Piguet Diana
来源:Canadian Journal of Mathematics, 2015, 67(4): 721-758.
DOI:10.4153/CJM-2014-030-6

摘要

We find, for all sufficiently large n and each k, the maximum number of edges in an n-vertex graph that does not contain k + 1 vertex-disjoint triangles. This extends a result of Moon [Canad. J. Math. 20 (1968), 96-102], which is in turn an extension of Mantel's Theorem. Our result can also be viewed as a density version of the Corradi-Hajnal Theorem.

  • 出版日期2015-8