Advanced Science, Engineering and Medicine, Volume (3), No (1), Year (2018-6) , Pages (55-65)

Title : ( Some Applications of Strong Product )

Authors: mostafa tavakoli , Freydoon Rahbarnia , Irandokht Rezaee Abdolhosseinzadeh ,
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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, some applications of this product are presented.

Keywords

Strong product; Graph invariant; Topological index.