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Symmetry 2014, 6(2), 189-209; doi:10.3390/sym6020189
Article

Topological Symmetry Groups of Small Complete Graphs

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Received: 12 February 2014 / Revised: 2 April 2014 / Accepted: 2 April 2014 / Published: 8 April 2014
(This article belongs to the Special Issue Supramolecular Chirality)

Abstract

Topological symmetry groups were originally introduced to study the symmetries of non-rigid molecules, but have since been used to study the symmetries of any graph embedded in R3. In this paper, we determine for each complete graph Kn with n ≤ 6, what groups can occur as topological symmetry groups or orientation preserving topological symmetry groups of some embedding of the graph in R3.
Keywords: topological symmetry groups; molecular symmetries; complete graphs; spatial graphs topological symmetry groups; molecular symmetries; complete graphs; spatial graphs
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chambers, D.; Flapan, E. Topological Symmetry Groups of Small Complete Graphs. Symmetry 2014, 6, 189-209.

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