Classification of topological symmetry groups of $K_n$

Erica Flapan; Blake Mellor; Ramin Naimi; Michael Yoshizawa

Classification of topological symmetry groups of $K_n$

Geometric Topology 2014-12-24 v3 Combinatorics

Authors: Erica Flapan , Blake Mellor , Ramin Naimi , Michael Yoshizawa

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.

Keywords

topological symmetry group complete graph classification cyclic group dihedral group direct product

Cite

@article{arxiv.1205.1560,
  title  = {Classification of topological symmetry groups of $K_n$},
  author = {Erica Flapan and Blake Mellor and Ramin Naimi and Michael Yoshizawa},
  journal= {arXiv preprint arXiv:1205.1560},
  year   = {2014}
}

Comments

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

Classification of topological symmetry groups of $K_n$

Abstract

Keywords

Cite

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