Classification of topological symmetry groups of $K_n$

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 $D_m\times D_m$ where $m$ is odd, as its topological symmetry group.

19 pages; v2 lists authors correctly on arXiv; v3 substantially revises the introduction

References in corpus (2)

• Complete graphs whose topological symmetry groups are polyhedral
• Topological Symmetry Groups for Small Complete Graphs

Cited by in corpus (5)

• Topological Symmetry Groups for Small Complete Graphs
• Topological Symmetry Groups of the Petersen graphs
• Topological Symmetry Groups of the Heawood Graph
• Topological Symmetry Groups of Möbius Ladders
• Complete bipartite graphs whose topological symmetry groups are polyhedral