Classification of Topological Symmetry Groups of Kn

Authors

Erica Flapan
Blake Mellor, Loyola Marymount UniversityFollow
Ramin Naimi
Michael Yoshizawa

Document Type

Article - On Campus Only

Publication Date

2014

Abstract

In this paper we complete the classification of topological symmetry groups for complete graphs K_n by characterizing which K_n can have a cyclic group, a dihedral group, or a subgroup of D_m × D_m for odd m, as its topological symmetry group. Using this classification, one can algorithmically determine all possible topological symmetry groups of K_n for any n.

Digital Commons @ LMU & LLS Citation

Flapan, Erica, Blake Mellor, Ramin Naimi, and Michael Yoshizawa. “Classification of Topological Symmetry Groups of Kn.” In Topology Proceedings, 43:209–33, 2014.