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arXiv · 2211.12721

The codegree Turán density of tight cycles minus one edge

Simón Piga·Marcelo Sales·Bjarne Schülke
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Abstract

Given $α>0$ and an integer $\ell\geq5$, we prove that every sufficiently large $3$-uniform hypergraph $H$ on $n$ vertices in which every two vertices are contained in at least $αn$ edges contains a copy of $C_\ell^{-}$, a tight cycle on $\ell$ vertices minus one edge. This improves a previous result by Balogh, Clemen, and Lidický.

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Simón Piga, Marcelo Sales, Bjarne Schülke. 2022-11-23. The codegree Turán density of tight cycles minus one edge. https://arxiv.org/abs/2211.12721

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