Abstract
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane, and eclipsed and staggered forms of ferrocene. It was shown by Balasubramanian that the molecular symmetry groups can be obtained as the automorphism groups of edge-weighted Euclidean graphs. In this paper we calculate the atom centers of hexamethylcyclohexane molecule using the chemistry package HyperChem and then compute its symmetry group.
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