Multicolor Ramsey numbers for Berge cycles
Combinatorics
2021-09-30 v1
Abstract
In this paper, for small uniformities, we determine the order of magnitude of the multicolor Ramsey numbers for Berge cycles of length , , , , , or . 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- for certain , , and uniformities.
Keywords
Cite
@article{arxiv.2109.13969,
title = {Multicolor Ramsey numbers for Berge cycles},
author = {Zachary DeStefano and Hannah Mahon and Frank Simutis and Michael Tait},
journal= {arXiv preprint arXiv:2109.13969},
year = {2021}
}