Multicolor Ramsey numbers for Berge cycles
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-Ka,b for certain a, b, and uniformities.
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