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arXiv · 1506.03306

On the number of edge-disjoint triangles in $K_4$-free graphs

Ervin Győri·Balázs Keszegh
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Abstract

We show the quarter of a century old conjecture that every $K_4$-free graph with $n$ vertices and $\lfloor n^2/4 \rfloor +k$ edges contains $k$ pairwise edge disjoint triangles.

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Ervin Győri, Balázs Keszegh. 2015-06-10. On the number of edge-disjoint triangles in $K_4$-free graphs. https://arxiv.org/abs/1506.03306

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