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Paths And Circuits In G-Graphs Of Certain Non-Abelian Groups, A. Dewitt, A. Rodriguez, Jennifer Daniel
Paths And Circuits In G-Graphs Of Certain Non-Abelian Groups, A. Dewitt, A. Rodriguez, Jennifer Daniel
Furman University Electronic Journal of Undergraduate Mathematics
In [BJRTD08], necessary and suffcient 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 Γ(G, S) where |S|= 2.