topological symmetry groups; molecular symmetries; complete graphs; spatial graphs
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.
© 2014 Dwayne Chambers and Erica Flapan
This work is licensed under a Creative Commons Attribution 3.0 License.
Chambers, D.; Flapan, E. Topological Symmetry Groups of Small Complete Graphs. Symmetry 2014, 6, 189-209.