Topological Symmetry Groups of Small Complete Graphs

Authors

Erica Flapan, Pomona CollegeFollow
Dwayne Chambers, Pomona CollegeFollow

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 K_n 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

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

DOI

10.3390/sym6020189

Recommended Citation

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