Abstract

Let G=(V,E) be a simple connected graph, where V(G) and E(G) represent the vertex set and edge set of G respectively. For a graph the vertex Szeged index is equal to the product over all edges uv of G of the number of vertices which are not equidistant to vertices u and v. The vertex Padmarker-Ivan (PIv ) index of a graph is the sum over all edges uv of G of the number of vertices which are not equidistant to vertices u and v. The aim of this paper is to compute and compare the vertex Szeged index and vertex Padmarker-Ivan (PIv ) index of P 2n+F Pn +1, where P 2n+F Pn +1 represents four operation on P 2n ×Pn +1.

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