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arXiv · 2207.05840

Erd\H os--Hajnal problem for $H$-free hypergraphs

Danila Cherkashin·Alexei Gordeev·Georgii Strukov
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Abstract

This paper deals with the minimum number $m_H(r)$ of edges in an $H$-free graph with the chromatic number more than $r$. We show how bounds on Ramsey and Turán numbers imply bounds on $m_H(r)$.

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Danila Cherkashin, Alexei Gordeev, Georgii Strukov. 2022-07-20. Erd\H os--Hajnal problem for $H$-free hypergraphs. https://arxiv.org/abs/2207.05840

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