Some distance-based topological indices of a non-commuting graph

Abstract

Let G be a non-Abelian group and let Z(G) be the center of G. The noncommuting graph of G, $Gamma$(G), is a graph with vertex set G Z(G) and two distinct vertices x and y are adjacent if and only if xy 6= yx. In this paper the Hyper-Wiener, Schultz, Gutman, eccentric connectivity and Zagreb group indices of this graph are computed.