An algorithm for computing symmetry of fullerenes

作者:Gilani A R; Faghani M*
来源:Optoelectronics and Advanced Materials-Rapid Communications, 2010, 4(4): 556-559.

摘要

Suppose M is a molecule, G is its molecular graph and A = [a(ij)] is the adjacency matrix of G. An Euclidean graph associated to M is defined by a weighted graph with the adjacency matrix D = [d(ij)], where for i not equal j d(ij) is the Euclidean distance between the nuclei i and j. In this matrix d(ii) can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for different nuclei. In this work a simple method is described, by means of which it is possible to calculate the automorphism group of weighted graphs. We apply this method to compute the symmetry of some fullerenes.

  • 出版日期2010-4