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

Document Type : Research Paper

Author

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

Abstract

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.

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