SOME DISTANCE-BASED TOPOLOGICAL INDICES OF A NON-COMMUTING GRAPH

作者：Mirzargar M; Ashrafi A R^*

来源：Hacettepe Journal of Mathematics and Statistics, 2012, 41(4): 515-526.

• Non-commuting graph
• AC-group
• Wiener index
• Hyper-Wiener index
• Schultz index
• Zagreb index

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 not equal yx. In this paper the Hyper-Wiener, Schultz, Gutman, eccentric connectivity and Zagreb group indices of this graph are computed.

• 出版日期2012-8