Abstract
In this paper, all finite groups whose commuting (noncommuting) graphs can be embed on the plane, torus, or projective plane are classified.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The authors are deeply grateful to the referee for careful reading of the manuscript and helpful suggestions.
The research of the first author was in part supported by a grant from IPM (No. 92050011)
Notes
Communicated by M. Bresar.