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What is this Ramsey problem?

A good reference is Radziszowski's article Small Ramsey Numbers, which gets updated as new results are proven. In particular, this refers to basically all known Ramsey style results. The ones you're ...
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Asymptotics for Ramsey Theory

First, the short answer to the general question is that $\frac{A(n,d,k)}{\binom nk}$ is (nonstrictly) increasing in $n$, whence for $n\ge m$ we have $$A(n,d,k)\ge\frac{A(m,d,k)}{\binom mk}\binom nk\ge\...

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