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A note on the fourth version of geometric-arithmetic index

M. GHORBANI1,* , A. KHAKI1

Affiliation

  1. 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 ( ) uv E 2 GA G dudv du dv ∈ = Σ + , in which degree of vertex u denoted by du. Now we define a new version of GA index as 4 2 ε ε ( ) ε ε u v uv E u v GA G ∈ = Σ + , in which ε(u) is the eccentricity of vertex u. The goal of this paper is to further the study of the GA4 index.

Keywords

Topological indices, GA Index, GA4 Index.

Citation

M. GHORBANI, A. KHAKI, A note on the fourth version of geometric-arithmetic index, Optoelectronics and Advanced Materials - Rapid Communications, 4, 12, December 2010, pp.2212-2215 (2010).

Submitted at: Oct. 27, 2010

Accepted at: Nov. 29, 2010