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

Thomas F. Bloom; Anita Liebenau

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arXiv · 1508.03866

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

Thomas F. Bloom·Anita Liebenau

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Abstract

We prove that, for $n\geq 4$, the graphs $K_n$ and $K_n+K_{n-1}$ are Ramsey equivalent. That is, if $G$ is such that any red-blue colouring of its edges creates a monochromatic $K_n$ then it must also possess a monochromatic $K_n+K_{n-1}$.

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BibTeX RIS

Thomas F. Bloom, Anita Liebenau. 2015-08-16. Ramsey equivalence of $K_n$ and $K_n+K_{n-1}$. https://arxiv.org/abs/1508.03866

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