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

Topological Symmetry Groups of Small Complete Graphs

 and
*
Department of Mathematics, Pomona College, Claremont, CA 91711, USA
* Author to whom correspondence should be addressed.
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)
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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 (CC BY 3.0).

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

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