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arXiv · 2404.02714

Some Combinatorial Formulas Related to Diagonal Ramsey Numbers

Pakawut Jiradilok
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Abstract

We derive some combinatorial formulas related to the diagonal Ramsey numbers $R(k)$. Each formula is a statement of the form "$F(n,k) = 0$ if and only if $n \ge R(k)$," where $F(n,k)$ is a combinatorial expression which depends on $n$ and $k$. Our work is closely related to a recent work by De Loera and Wesley.

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Pakawut Jiradilok. 2024-04-03. Some Combinatorial Formulas Related to Diagonal Ramsey Numbers. https://arxiv.org/abs/2404.02714

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