English

Complete graphs whose topological symmetry groups are polyhedral

Geometric Topology 2014-10-01 v3 Combinatorics

Abstract

We determine for which mm, the complete graph KmK_m has an embedding in S3S^3 whose topological symmetry group is isomorphic to one of the polyhedral groups: A4A_4, A5A_5, or S4S_4.

Keywords

Cite

@article{arxiv.1008.1095,
  title  = {Complete graphs whose topological symmetry groups are polyhedral},
  author = {Erica Flapan and Blake Mellor and Ramin Naimi},
  journal= {arXiv preprint arXiv:1008.1095},
  year   = {2014}
}

Comments

27 pages, 12 figures; v.2 and v.3 include minor revisions

R2 v1 2026-06-21T15:57:41.956Z