无 H 超图的 Erdős-Hajnal 问题

Pub Date : 2023-12-28 DOI:10.1007/s00373-023-02737-6
Danila Cherkashin, Alexey Gordeev, Georgii Strukov
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引用次数: 0

摘要

本文讨论了色度数大于 r 的无 H 超图中边的最小数量 \(m_H(r)\)。我们展示了拉姆齐数和图兰数的约束是如何暗示 \(m_H(r)\)的约束的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Erdős–Hajnal Problem for H-Free Hypergraphs

This paper deals with the minimum number \(m_H(r)\) of edges in an H-free hypergraph 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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