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Article
Complete graphs whose topological symmetry groups are polyhedral
Algebraic & Geometric Topology
  • Eric Flapan
  • Blake Mellor, Loyola Marymount University
  • Ramin Naimi
Document Type
Article
Publication Date
1-1-2011
Disciplines
Abstract

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.

Publisher Statement

Permission has been granted by Mathematical Sciences Publishers to supply this article for educational and research purposes. More info can be found about the Algebraic & Geometric Topology at http://msp.org/agt/about/journal/about.html. © Mathematical Sciences Publishers.

Citation Information
Flapan, E., B. Mellor and R. Naimi, 2011: Complete graphs whose topological symmetry groups are polyhedral. Algebraic and Geometric Topology, 11, 1405-1433.