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arXiv · 1102.1764

Triangle-intersecting families on eight vertices

Yuval Filmus
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Abstract

Simonovits and Sós conjectured that the maximal size of a triangle-intersecting family of graphs on $n$ vertices is $2^{\binom{n}{2}-3}$. Their conjecture has recently been proved using spectral methods. We provide an elementary proof of the special case of $8$ vertices using a partition argument.

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Yuval Filmus. 2011-02-09. Triangle-intersecting families on eight vertices. https://arxiv.org/abs/1102.1764

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