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Computing counting polynomials of leapfrog fullerenes F26×3n

M. GHORBANI1,* , M. JADDI1

Affiliation

  1. Department of Mathematics, Faculty of Science, Shahid Rajaei, Teacher Training University, Tehran, 16785 – 136, I. R. Iran Department of Mathematics, Paperme Noor University (PNU), Aran&Bidgol, 874151

Abstract

Fullerenes are molecules in the form of cage-like polyhedra, consisting solely of carbon atoms. The omega polynomial was defined as cΩ(G, x) =Σcm⋅ x , in which m(G, c) is the number of strips of length c. One can obtain the Sadhana polynomial by replacing xc with x|E|-c in omega polynomial. Then the Sadhana index will be the first derivative of Sd(G, x) evaluated at x = 1. In this paper, the Omega and Sadhana polynomials of a new infinite class of fullerenes constructed by leapfrog principle is computed..

Keywords

Omega polynomial, Sadhana polynomial, Fullerene graph, Leapfrog fullerene.

Citation

M. GHORBANI, M. JADDI, Computing counting polynomials of leapfrog fullerenes F26×3n, Optoelectronics and Advanced Materials - Rapid Communications, 4, 4, April 2010, pp.540-543 (2010).

Submitted at: Feb. 16, 2010

Accepted at: April 11, 2010