Symmetry of a toroidal fullerene
M. FAGHANI1,*
Affiliation
- 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