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Computing the MEC polynomial of an infinite family of the linear parallelogram P(n,n)

MEHDI ALAEIYAN1,* , JAFAR ASADPOUR1

Affiliation

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

Abstract

Let G=(V,E) be a molecular graph, where V(G) is a non-empty set of vertices and E(G) is a set of edges. For uV(G), dfined deg(u) be degree of vertex u, and nG(u) is the sum of the degrees of its neighborhoods. The modified eccentricity connectivity polynomial of a molecular graph G is defined as (G,x)=uV (G)nG(u). xecc(u), where ecc(u) is defined as the length of a maximal path connecting u to another vertex of molecular graph G. In this paper, we computing this polynomial for an infinite family of linear polycene parallelogram P(n,n)..

Keywords

Modified eccentricity connectivity polynomial, Polycene parallelogram.

Citation

MEHDI ALAEIYAN, JAFAR ASADPOUR, Computing the MEC polynomial of an infinite family of the linear parallelogram P(n,n), Optoelectronics and Advanced Materials - Rapid Communications, 6, 1-2, January-February 2012, pp.191-193 (2012).

Submitted at: Aug. 17, 2011

Accepted at: Feb. 20, 2012