Complete bipartite graphs whose topological symmetry groups are polyhedral

Blake Mellor

Complete bipartite graphs whose topological symmetry groups are polyhedral

Loyola Marymount University

Research output: Other contribution

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.

Original language	Undefined/Unknown
State	Published - Jan 1 2014

Publication series

Name	Mathematics, Statistics and Data Science Faculty Works

Access to Document

http://digitalcommons.lmu.edu/math_fac/101

Cite this

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title = "Complete bipartite graphs whose topological symmetry groups are polyhedral",

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

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

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T3 - Mathematics, Statistics and Data Science Faculty Works

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