Geometric-Arithmetic index and line graph

Abstract

The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index $G{A}_1$ and characterize graphs extremal with respect to them. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.

Cited by in corpus (1)

• Relations between some topological indices and the line graph