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Classification of topological symmetry groups of KnK_n

Abstract

In this paper we complete the classification of topological symmetry groups for complete graphs KnK_n by characterizing which KnK_n can have a cyclic group, a dihedral group, or a subgroup of DmΓ—DmD_m \times D_m where mm is odd, as its topological symmetry group.Comment: 19 pages; v2 lists authors correctly on arXiv; v3 substantially revises the introductio

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