Diameter 2 Cayley Graphs of Dihedral Groups
Erskine, Grahame
Original · EN
We consider the degree-diameter problem for Cayley graphs of dihedral groups. We find upper and lower bounds on the maximum number of vertices of such a graph with diameter 2 and degree d. We completely determine the asymptotic behaviour of this class of graphs by showing that both limits are asymptotically d²/2.
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