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A note on geometric – arithmetic index of fullerene

A. KHAKSAR1, M. GHORBANI1,* , H. R. MAIMANI1

Affiliation

  1. Department of Mathematics, Payame Noor University (PNU), Shiraz, I. R. Iran Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-136, I. R. Iran

Abstract

The geometric-arithmetic index is another topological index was defined as 2 d( )d( ) ( ) d( ) d( ) uv E u v GA G u v   , in which degree of vertex u denoted by d(u). We now define a new version of GA index as 4 ( ) 2 ε( )ε( ) ( ) e uv E G ε( ) ε( ) u v GA G u v , where ε(u) is the eccentricity of vertex u. In this paper we compute these topological indices for fullerene graphs..

Keywords

Topological index, GA index, GA4 index, Hamiltonian graphs.

Citation

A. KHAKSAR, M. GHORBANI, H. R. MAIMANI, A note on geometric – arithmetic index of fullerene, Optoelectronics and Advanced Materials - Rapid Communications, 5, 2, February 2011, pp.157-159 (2011).

Submitted at: Nov. 5, 2010

Accepted at: Feb. 17, 2011