On the Symmetry of a Zig-Zag and an Armchair Polyhex Carbon Nanotorus
AbstractA Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = [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. Otherwise, one may introduce different weights for distinct nuclei. The aim of this paper is to compute the automorphism group of the Euclidean graph of a carbon nanotorus. We prove that this group is a semidirect product of a dihedral group by a group of order 2.
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Yavari, M.; Ashrafi, A.R. On the Symmetry of a Zig-Zag and an Armchair Polyhex Carbon Nanotorus. Symmetry 2009, 1, 145-152.
Yavari M, Ashrafi AR. On the Symmetry of a Zig-Zag and an Armchair Polyhex Carbon Nanotorus. Symmetry. 2009; 1(2):145-152.Chicago/Turabian Style
Yavari, Morteza; Ashrafi, Ali R. 2009. "On the Symmetry of a Zig-Zag and an Armchair Polyhex Carbon Nanotorus." Symmetry 1, no. 2: 145-152.