Planar,Toroidal, and Projective Commuting and Noncommuting Graphs |
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| Authors: | M Afkhami M Farrokhi D G |
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| Institution: | 1. Department of Mathematics , University of Neyshabur , Neyshabur , Iran;2. School of Mathematics , Institute for Research in Fundamental Sciences (IPM) , Tehran , Iran;3. Department of Pure Mathematics , Ferdowsi University of Mashhad , Mashhad , Iran |
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| Abstract: | In this paper, all finite groups whose commuting (noncommuting) graphs can be embed on the plane, torus, or projective plane are classified. |
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| Keywords: | Commuting graph Crosscap Genus Noncommuting graph |
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