Abstract In a paper by C.Bauer, C.Johnson, A.Rodriguez, B.Temple, J.Daniel, necessary and sufficient conditions were given for the existence of Eulerian and Hamiltonian paths and circuits in the G-graph of the dihedral group Dn. In this paper, we consider the G-graphs of the quasihedral, modular, and generalized quaternion group. These groups are of rank 2 and we consider only the graphs Gamma(G,S) where |S|= 2.
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Furman University Electronic Journal of Undergraduate Mathematics