ON ARITHMETIC-GEOMETRIC INDEX GA AND EDGE GA INDEX

Abstract

Let G V G ;E G be a simple connected graph and dG u be the degree of the vertex u. Topological indices are numerical parameters of a graph which are invariant under graph isomorphisms. Recently, people are studying various topological measures such as the arithmetic-geometric index and the edge version of arithmetic- geometric index of a graph G. Topological index based on the ratios of geometrical and arithmetical means of end vertex degrees of edges. In this paper, exact values for the arithmetic-geometric index and the edge version of arithmetic-geometric index of wheel related graphs namely gear, helm, sun ower and friendship graph are obtained.

Keywords

• Arithmetic-Geometric Index,Edge Arithmetic-Geometric Index,Network Design and Communication,Gear graph,Helm graph,Sun ower graph,Friendship graph

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