A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes

Document Type : Research Paper


Khorramabad Branch, Islamic Azad University, I. R. Iran


The first geometric-arithmetic index was introduced in the chemical theory as the summation of 2 du dv /(du  dv ) overall edges of the graph, where du stand for the degree of the vertex u. In this paper we give the expressions for computing the first geometric-arithmetic index of hexagonal systems and phenylenes and present new method for describing hexagonal system by corresponding a simple graph to each hexagonal system.