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arXiv · 1709.05003

Ramsey equivalence of $K_n$ and $K_n+K_{n-1}$ for multiple colours

Damian Reding
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Abstract

In 2015 Bloom and Liebenau proved that $K_n$ and $K_n+K_{n-1}$ possess the same $2$-Ramsey graphs for all $n\geq 3$ (with a single exception for $n=3$). In the following we give a simple proof that $K_n$ and $K_n+K_{n-1}$ possess the same $r$-Ramsey graphs for all $n, r\geq 3$.

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Damian Reding. 2017-09-14. Ramsey equivalence of $K_n$ and $K_n+K_{n-1}$ for multiple colours. https://arxiv.org/abs/1709.05003

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