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Computing omega and Sadhana polynomials of an infinite class of fullerenes F4x3n

M. GHORBANI1,* , M. GHAZI1, S. SHAKERANEH1

Affiliation

  1. Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, 16785 – 136, I R. Iran

Abstract

The Omega polynomial was defined by M. V. Diudea as n(e) e uv (x) x = Ω =Σ , where the number of edges co -distant with e is denoted by n(e). One can obtain the Sadhana polynomial by replacing xn(e) with x|E|-n(e) in Omega polynomial. Then the Sadhana index will be the first derivative of Sd(x) evaluated at x = 1. In the present study, compute the Omega and Sadhana polynomials of a new infinite class of fullerenes is computed for the first time.

Keywords

Chemical graph theory, Fullerene, Omega and Sadhana polynomials, Sadhana index.

Citation

M. GHORBANI, M. GHAZI, S. SHAKERANEH, Computing omega and Sadhana polynomials of an infinite class of fullerenes F4x3n, Optoelectronics and Advanced Materials - Rapid Communications, 4, 6, June 2010, pp.893-859 (2010).

Submitted at: May 22, 2010

Accepted at: June 16, 2010