ON ARITHMETIC-GEOMETRIC INDEX GA AND EDGE GA INDEX

Year 2018, Volume: 8 Issue: 1, 61 - 70, 01.06.2018

- V.aytaç - T.turacı

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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