Some Applications of Strong Product

Document Type : Original Scientific Paper

Authors

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

Abstract

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.

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References

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Mathematics Interdisciplinary Research
Volume 3, Issue 1
June 2018
Pages 55-65

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