Some Applications of Strong Product

Document Type: Original Scientific Paper


Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran


Let G and H be graphs. The strong product GH of graphs G and H is the graph with vertex set V(G)V(H) and u=(u1, v1) is adjacent with v= (u2, v2) whenever (v1 = v2 and u1 is adjacent with u2) or (u1 = u2 and v1 is adjacent with v2) or (u1 is adjacent with u2 and v1 is adjacent with v2). In this paper, we first collect the earlier results about strong product and then we present applications of these results in working with some important graphs
such as Fence graphs.


Main Subjects

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