%0 Journal Article %T Classification of topological symmetry groups of $K_n$ %A Erica Flapan %A Blake Mellor %A Ramin Naimi %A Michael Yoshizawa %J Mathematics %D 2012 %I arXiv %X In this paper we complete the classification of topological symmetry groups for complete graphs $K_n$ by characterizing which $K_n$ can have a cyclic group, a dihedral group, or a subgroup of $D_m \times D_m$ where $m$ is odd, as its topological symmetry group. %U http://arxiv.org/abs/1205.1560v3