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Ramsey equivalence for asymmetric pairs of graphs
[article]

2022
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arXiv
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pre-print

A graph F is Ramsey for a pair of graphs (G,H) if any red/blue-coloring of the edges of F yields a copy of G with all edges colored red or a copy of H with all edges colored blue. Two pairs of graphs are called Ramsey equivalent if they have the same collection of Ramsey graphs. The symmetric setting, that is, the case G=H, received considerable attention. This led to the open question whether there are connected graphs G and G' such that (G,G) and (G',G') are Ramsey equivalent. We make

arXiv:2206.03898v1
fatcat:j4cgsutipnctfe4f6l53nlny7u