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Abstract
In this paper, we consider a variant of Ramsey numbers which we call complementary Ramsey numbers $\bR(m,t,s)$. 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 $\bR(m,t,s)$ for $(s,t)=(4,4)$ and $(3,6)$.
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How to Cite
Munemasa, A., & Shinohara, M. (2019). Complementary Ramsey Numbers. Journal of the Indonesian Mathematical Society, 25(2), 146–153. https://doi.org/10.22342/jims.25.2.827.146-153
