Complete Graphs whose Topological Symmetry Groups are Polyhedral

Authors

Erica Flapan, Pomona CollegeFollow
Blake Mellor, Loyola Marymount University
Ramin Naimi, Occidental College

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2011

Keywords

complete graph, topological symmetry groups, polyhedral groups

Abstract

We determine for which m the complete graph K_m has an embedding in S³ whose topological symmetry group is isomorphic to one of the polyhedral groupsA₄, A₅ or S₄.

Comments

Posted with the permission of Mathematical Sciences Publishers.

Rights Information

© 2011 Mathematical Sciences Publishers

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.2140/agt.2011.11.1405

Recommended Citation

E. Flapan, B. Mellor, R. Naimi, Complete graphs whose topological symmetry groups are polyhedral, Algebraic and Geometric Topology, Vol 11, (2011) 1405-1433. doi: 10.2140/agt.2011.11.1405