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A new method for computing eccentric connectivity polynomial of an infinite family of linear polycene parallelogram benzenod

MEHDI ALAEIYAN1,* , RASOUL MOJARAD1, JAFAR ASADPOUR1

Affiliation

  1. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Abstract

Let G=(V,E) be a graph, where V(G) is a non-empty set of vertices and E(G) is a set of edges. For u∈V(G), defined d(u) be degree of vertex u. The eccentricity connectivity polynomial of a molecular graph G is defined as ECP(G,x) = Σ ∈ ( ) deg ( ) ( ) u V G ecc u G u x , where ecc(a) is defined as the length of a maximal path connecting a to another vertex of G. In this paper, we computing this polynomial for linear polycene parallalogram graph of benzenoid by a new method..

Keywords

Eccentricity connectivity polynomial, Eccentricity index, Polycene parallalogram, Benzenod.

Citation

MEHDI ALAEIYAN, RASOUL MOJARAD, JAFAR ASADPOUR, A new method for computing eccentric connectivity polynomial of an infinite family of linear polycene parallelogram benzenod, Optoelectronics and Advanced Materials - Rapid Communications, 5, 7, July 2011, pp.761-763 (2011).

Submitted at: May 3, 2011

Accepted at: July 25, 2011