Complete bipartite graphs whose topological symmetry groups are polyhedral

Abstract

We determine for which $n$, the complete bipartite graph $K_{n,n}$ has an embedding in $S^3$ whose topological symmetry group is isomorphic to one of the polyhedral groups: $A_4$, $A_5$, or $S_4$.

25 pages, 6 figures, latest version has minor edits in preparation for submission

References in corpus (2)

• Complete graphs whose topological symmetry groups are polyhedral
• Classification of topological symmetry groups of $K_n$