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Complementary Ramsey Numbers
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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 $(3,6)$.
Indonesian Mathematical Society
Title: Complementary Ramsey Numbers
Description:
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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