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Mathematics 2014
Diameter 2 Cayley Graphs of Dihedral GroupsDOI: 10.1016/j.disc.2015.01.023 Abstract: 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 $d^2/2$.
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