The Bipartite Ramsey Numbers $b(C_{2m};K_{2,2})$
The Bipartite Ramsey Numbers $b(C_{2m};K_{2,2})$
Given bipartite graphs $H_1$ and $H_2$, the bipartite Ramsey number $b(H_1; H_2)$ is the smallest integer $b$ such that any subgraph $G$ of the complete bipartite graph $K_{b,b}$, either $G$ contains a copy of $H_1$ or its complement relative to $K_{b,b}$ contains a copy of $H_2$. It is known that …