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arXiv · 2008.11372

On $3$-uniform hypergraphs avoiding a cycle of length four

Beka Ergemlidze·Ervin Győri·Abhishek Methuku·Nika Salia·Casey Tompkins
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Abstract

In this note we show that the maximum number of edges in a $3$-uniform hypergraph without a Berge cycle of length four is at most $(1+o(1))\frac{n^{3/2}}{\sqrt{10}}$. This improves earlier estimates by Győri and Lemons and by Füredi and Özkahya.

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Beka Ergemlidze, Ervin Győri, Abhishek Methuku, Nika Salia, Casey Tompkins. 2020-08-26. On $3$-uniform hypergraphs avoiding a cycle of length four. https://arxiv.org/abs/2008.11372

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