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arXiv:1008.1095 [math.GT]AbstractReferencesReviewsResources

Complete graphs whose topological symmetry groups are polyhedral

Erica Flapan, Blake Mellor, Ramin Naimi

Published 2010-08-05, updated 2011-03-11Version 3

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 $S_4$.

Comments: 27 pages, 12 figures; v.2 and v.3 include minor revisions
Journal: Alg. Geom. Top., vol. 11, 2011, pp. 1405-1433
Categories: math.GT, math.CO
Subjects: 57M15, 57M25, 05C10
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