Topological Symmetry Groups for Small Complete Graphs

2012/12/24 by Dwayne Chambers, Chambers, Dwayne, Erica Flapan +1
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.1212.5964

arxiv created 2014/02/13 · arxiv updated 2014/02/17

Abstract

For each n≤ 6, we characterize all the groups which can occur as either the orientation preserving topological symmetry group or the topological symmetry group of some embedding of K_n in S³.

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• Topological Symmetry Groups of the Petersen Graph
• Topological Symmetry Groups of the Heawood Graph
• Topological Symmetry Groups of the Generalized Petersen Graphs
• Topological Symmetries of the Heawood family
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