The Ramsey number of a long even cycle versus a star

Allen, PeterORCID logo; Luczak, Tomasz; Polcyn, Joanna; and Zhang, Yanbo (2023) The Ramsey number of a long even cycle versus a star Journal of Combinatorial Theory, Series B, 162. 144 - 153. ISSN 0095-8956
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We find the exact value of the Ramsey number R(C2, K1,n), when and n = O(10/9) are large. Our result is closely related to the behaviour of Turán number ex(N, C2) for an even cycle whose length grows quickly with N.

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