%0 Journal Article %T Toroidal and projective commuting and non-commuting graphs %A Mojgan Afkhami %A Mohammad Farrokhi Derakhshandeh Ghouchan %A Kazem Khashyarmanesh %J Mathematics %D 2014 %I arXiv %X In this paper, all finite groups whose commuting (non-commuting) graphs can be embed on the plane, torus or projective plane are classified. %U http://arxiv.org/abs/1402.4978v1