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arXiv · 2003.03310

The Ramsey number of a long even cycle versus a star

Peter Allen·Tomasz Łuczak·Joanna Polcyn·Yanbo Zhang
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Abstract

We find the exact value of the Ramsey number $R(C_{2\ell},K_{1,n})$, when $\ell$ and $n=O(\ell^{10/9})$ are large. Our result is closely related to the behaviour of Turán number $ex(N, C_{2\ell})$ for an even cycle whose length grows quickly with $N$.

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Peter Allen, Tomasz Łuczak, Joanna Polcyn, Yanbo Zhang. 2020-10-20. The Ramsey number of a long even cycle versus a star. https://arxiv.org/abs/2003.03310

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