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The Cycle-Complete graph Ramsey numbers

Vladimir Nikiforov
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Abstract

We find the Ramsey number of a cycle vs. a complete graph when the order of the cycle is at least 4 times as large as the order of the complete graph. This partially confirms a conjecture of Erdős, Faudree, Rousseau, and Schelp made in 1978.

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Vladimir Nikiforov. 2004-04-27. The Cycle-Complete graph Ramsey numbers. https://arxiv.org/abs/math/0404501

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