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Eccentric connectivity polynomial of an infinite family of fullerenes

A. R. ASHRAFI1, M. GHORBANI1,* , M. JALALI1

Affiliation

  1. Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan 87317−51167, I. R. Iran

Abstract

The eccentricity connectivity polynomial of a molecular graph G is defined as EC(G,x) = SaÎV(G)xecc(a), where ecc(a) is defined as the length of a maximal path connecting a to another vertex of G. In this paper this polynomial is computed for an infinite class of fullerenes.

Keywords

Eccentricity connectivity polynomial, Eccentricity index, Fullerene.

Citation

A. R. ASHRAFI, M. GHORBANI, M. JALALI, Eccentric connectivity polynomial of an infinite family of fullerenes, Optoelectronics and Advanced Materials - Rapid Communications, 3, 8, August 2009, pp.823-826 (2009).

Submitted at: May 21, 2009

Accepted at: July 31, 2009