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Symmetry of a toroidal fullerene

M. FAGHANI1,*

Affiliation

  1. Department of Mathematics, Payam-e-Noor University, Tehran, I. R. Iran

Abstract

Suppose G is a molecular graph with atoms labeled by numbers 1, 2, … n. The adjacency matrix A = [aij] of G is a 0-1 matrix with aij = 1 if and only if there is a bond connecting atoms i and j. A Euclidean graph associated to a molecule M is defined by a weighted graph with the adjacency matrix D = [dij], where for i ≠ j dij is the Euclidean distance between the nuclei i and j. In this matrix dii can be taken as zero if all the nuclei are equivalent. In this work a new method is presented by which it is possible to calculate the symmetry of fullerenes.

Keywords

Symmetry, Fullerene, Euclidean graph.

Citation

M. FAGHANI, Symmetry of a toroidal fullerene, Optoelectronics and Advanced Materials - Rapid Communications, 4, 11, November 2010, pp.1844-1846 (2010).

Submitted at: Aug. 16, 2010

Accepted at: Nov. 10, 2010