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A note on Ramsey Numbers for Books

Vladimir Nikiforov·Cecil Rousseau
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Abstract

A book of size N is the union of N triangles sharing a common edge. We show that the Ramsey number of a book of size N vs. a book of size M equals 2N+3 for all N>(10^6)M. Our proof is based on counting.

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Vladimir Nikiforov, Cecil Rousseau. 2004-05-10. A note on Ramsey Numbers for Books. https://arxiv.org/abs/math/0405175

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