New Ramsey Bounds from Cyclic Graphs of Prime Order

Neil J. Calkin, Paul L. Erdos, Craig A. Tovey · SIAM Journal on Discrete Mathematics · 1997

We present new explicit lower bounds for some Ramsey numbers. All the graphs are cyclic and are on a prime number of vertices. We give theoretical motivation for searching for Ramsey graphs of prime order and provide additional computational evidence that primes tend to be better than composites.

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