Ramsey Sets for Matchings

Abstract

In this note we characterize the members of the Ramsey set $\mathcal{R}(2K_2,t{K}_2)$ of all $(2K_2,t{K}_2)$-minimal graphs using factor-critical graphs. Moreover, the sets $\mathcal{R}(2K_2,t{K}_2)$ are determined for $t\le 5$.