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arXiv · 2109.13969

Multicolor Ramsey numbers for Berge cycles

Zachary DeStefano·Hannah Mahon·Frank Simutis·Michael Tait
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Abstract

In this paper, for small uniformities, we determine the order of magnitude of the multicolor Ramsey numbers for Berge cycles of length $4$, $5$, $6$, $7$, $10$, or $11$. Our result follows from a more general setup which can be applied to other hypergraph Ramsey problems. Using this, we additionally determine the order of magnitude of the multicolor Ramsey number for Berge-$K_{a,b}$ for certain $a$, $b$, and uniformities.

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Zachary DeStefano, Hannah Mahon, Frank Simutis, Michael Tait. 2021-09-28. Multicolor Ramsey numbers for Berge cycles. https://arxiv.org/abs/2109.13969

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