On the Ramsey Numbers for Bipartite Multigraphs

Ming-Yang Chen, Hsueh-I. Lu, Hsu-Chun Yen

A coloring of a complete bipartite graph is shuffle-preserved if it is the case that assigning a color $c$ to edges $(u,v)$ and $(u^{\prime },v^{\prime })$ enforces the same color assignment for e…