Complete graphs whose topological symmetry groups are polyhedral

Details Complete graphs whose topological symmetry groups are polyhedral Complete graphs whose topological symmetry groups are polyhedral

2010-08-05

arxiv.org/abs/1008.1095v3

Alg. Geom. Top., vol. 11, 2011, pp. 1405-1433

Mathematics

Geometric Topology

27 pages, 12 figures; v.2 and v.3 include minor revisions

Scientific paper

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 $S_4$.

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