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arxiv: math/0404501 · v1 · submitted 2004-04-27 · 🧮 math.CO

The Cycle-Complete graph Ramsey numbers

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keywords graphcompletecycleorderramseyconfirmsconjecturecycle-complete
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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 Erd\H{o}s, Faudree, Rousseau, and Schelp made in 1978.

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