Volume 11, issue 3 (2011)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Complete graphs whose topological symmetry groups are polyhedral

Erica Flapan, Blake Mellor and Ramin Naimi

Algebraic & Geometric Topology 11 (2011) 1405–1433
Abstract

We determine for which $m$ the complete graph ${K}_{m}$ has an embedding in ${S}^{3}$ whose topological symmetry group is isomorphic to one of the polyhedral groups ${A}_{4}$, ${A}_{5}$ or ${S}_{4}$.

Keywords
topological symmetry group, spatial graph
Mathematical Subject Classification 2010
Primary: 57M15, 57M25
Secondary: 05C10