A Density Corrádi–Hajnal Theorem

Abstract

Abstract 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 Corrádi–Hajnal Theorem.