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arXiv · 1406.2050

Complementary Ramsey numbers and Ramsey graphs

Akihiro Munemasa·Masashi Shinohara
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Abstract

In this paper, we consider a variant of Ramsey numbers which we call complementary Ramsey numbers $\bar{R}(m,t,s)$. We first establish their connections to pairs of Ramsey $(s,t)$-graphs. Using the classification of Ramsey $(s,t)$-graphs for small $s,t$, we determine the complementary Ramsey numbers $\bar{R}(m,t,s)$ for $(s,t)=(4,4)$ and $(3,6)$.

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Akihiro Munemasa, Masashi Shinohara. 2018-10-31. Complementary Ramsey numbers and Ramsey graphs. https://arxiv.org/abs/1406.2050

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