Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2014

Keywords

topological symmetry groups; molecular symmetries; complete graphs; spatial graphs

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.

Comments

This article is also available from Symmetry at: http://www.mdpi.com/2073-8994/6/2/189.

Rights Information

© 2014 Dwayne Chambers and Erica Flapan

Terms of Use & License Information

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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