Geodesic
Complete graphs whose topological symmetry groups are polyhedral
Flapan, Erica1 ; Mellor, Blake2 ; Naimi, Ramin3
1Department of Mathematics, Pomona College, 610 N College Ave, Claremont CA 91711, USA
2Department of Mathematics, Loyola Marymount University, 1 LMU Drive, University Hall, Suite 2700, Los Angeles CA 90045, USA
3Department of Mathematics, Occidental College, Los Angeles CA 90041, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1405-1433
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We determine for which m the complete graph Km has an embedding in S3 whose topological symmetry group is isomorphic to one of the polyhedral groups A4, A5 or S4.

DOI : 10.2140/agt.2011.11.1405
Classification : 57M15, 57M25, 05C10
Keywords: topological symmetry group, spatial graph

Flapan, Erica  1   ; Mellor, Blake  2   ; Naimi, Ramin  3

1 Department of Mathematics, Pomona College, 610 N College Ave, Claremont CA 91711, USA
2 Department of Mathematics, Loyola Marymount University, 1 LMU Drive, University Hall, Suite 2700, Los Angeles CA 90045, USA
3 Department of Mathematics, Occidental College, Los Angeles CA 90041, USA 
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Flapan, Erica; Mellor, Blake; Naimi, Ramin. Complete graphs whose topological symmetry groups are polyhedral. Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1405-1433. doi: 10.2140/agt.2011.11.1405

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