Abstract

Suppose F, G, and H be simple graphs. We let F → (G, H) denote red-blue coloring of edges of F containing either red G or blue H. The graph F is considered Ramsey (G, H)-minimal if F → (G, H) and F − e ↛ (G, H) for arbitrary edge e of E(F ). The set of (G, H)-minimal graphs is denoted by R(G, H). In this paper, we study an infinite family of graphs belongs to R(K 1,2, C 4).

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