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arxiv: 1106.5797 · v2 · pith:YPKJRQ5Onew · submitted 2011-06-28 · 🧮 math.GT

Complete bipartite graphs whose topological symmetry groups are polyhedral

classification 🧮 math.GT
keywords bipartitecompletegroupspolyhedralsymmetrytopologicalwhosedetermine
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We determine for which $n$, the complete bipartite graph $K_{n,n}$ 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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