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arXiv · 1410.0197

A Density Version of the Corradi-Hajnal Theorem

Dieter Rautenbach·Bruce Reed
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Abstract

For every positive integer $k$, we show that every graph of order $n$ at least $3k$ with more than $$\max\{{2k-1\choose 2}+(2k-1)(n-(2k-1)),{3k-1\choose 2}+(n-(3k-1))\}$$ edges has $k$ vertex disjoint cycles, which is a best possible density version of a theorem of Corrádi and Hajnal.

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Dieter Rautenbach, Bruce Reed. 2014-10-02. A Density Version of the Corradi-Hajnal Theorem. https://arxiv.org/abs/1410.0197

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