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arXiv · 2607.19760

A Sharp Ramsey Theorem for Admissible Colorings of Ordered Cliques

Yanan Hu·Zhenhua Lyu·Chenxi Yang
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Abstract

Let \(f(k)\) be the minimum integer \(N\) such that any red--blue edge-coloring of the ordered complete graph on \(N\) vertices contains a set of \(k\) vertices whose induced coloring is admissible. In this note, we obtain the exact value of $f(k)$ for $k\ge 3$, which confirms a conjecture posed by Bradač, Liu, Wu and Xu.

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Yanan Hu, Zhenhua Lyu, Chenxi Yang. 2026-07-22. A Sharp Ramsey Theorem for Admissible Colorings of Ordered Cliques. https://arxiv.org/abs/2607.19760

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