Complete bipartite graphs whose topological symmetry groups are polyhedral

Authors

Blake Mellor, Loyola Marymount UniversityFollow

Document Type

Article - pre-print

Publication Date

2014

Abstract

We determine for which n, the complete bipartite graph K_n,n has an embedding in S³ whose topological symmetry group is isomorphic to one of the polyhedral groups: A₄, A₅, or S₄.

Publisher Statement

This is an author-manuscript of an article accepted for publication in Tokyo Journal of Mathematics following peer review. The version of record is available online at: doi:10.3836/tjm/1406552435.

Recommended Citation

Mellor, Blake. Complete Bipartite Graphs Whose Topological Symmetry Groups are Polyhedral. Tokyo J. of Math. 37 (2014), no. 1, 135-158.