Abstract
AbstractWe find, for all sufficiently largenand eachk, the maximum number of edges in ann-vertex graph that does not containk+ 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.
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