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Balaban index of regular dendrimers

ABBAS HEYDARI1,*

Affiliation

  1. Department of Mathematics, Arak branch, Islamic Azad University, Arak, Iran

Abstract

The Balaban index of a simple connected graph G is defined as Σ∈−+=( ) 2 1 ( ( ) ( )) 1 ( ) uv E G J G m d u d v μ where m is the number of edges, μ is the cyclomatic number of G, d(u) is sum of the distances between vertex u and all of the vertices of G, and the summation goes over all edges from the edge set E(G). In this paper, computation of the Balaban index of regular dendrimers is purposed..

Keywords

Topological Index, Balaban Index, Dendrimers.

Citation

ABBAS HEYDARI, Balaban index of regular dendrimers, Optoelectronics and Advanced Materials - Rapid Communications, 5, 11, November 2011, pp.1260-1262 (2011).

Submitted at: Aug. 1, 2011

Accepted at: Nov. 23, 2011