On the first geometric-arithmetic index of product graphs

Authors

  • Fath-Tabar G.H.
  • Hossein-Zadeh S.
  • Hamzeh A.

Abstract

The first geometric-arithmetic index of a graph G is defined as GA 1(G) = Σe=uve⋯E(G)√d(u)d(v)/d(u)+d(v) where d(u) and d(v) are the degrees of vertices u and v, respectively. In this paper we derive upper and lower bounds on the values of GA1 index for several classes of composite graphs that arise via graph products.

Published

2011-09-09

How to Cite

Fath-Tabar G.H., Hossein-Zadeh S., & Hamzeh A. (2011). On the first geometric-arithmetic index of product graphs. Utilitas Mathematica, 86. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/740

Issue

Vol. 86 (2011): Volume 86, 2011

Section

Articles

Citation Check

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.