Locally Primitive Normal Cayley Graphs of Metacyclic Groups
نویسنده
چکیده
A complete characterization of locally primitive normal Cayley graphs of metacyclic groups is given. Namely, let Γ = Cay(G,S) be such a graph, where G ∼= Zm.Zn is a metacyclic group and m = p1 1 p r2 2 · · · p rt t such that p1 < p2 < · · · < pt. It is proved that G ∼= D2m is a dihedral group, and val(Γ ) = p is a prime such that p|(p1(p1 − 1), p2 − 1, . . . , pt − 1). Moreover, three types of graphs are constructed which exactly form the class of locally primitive normal Cayley graphs of metacyclic groups.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 16 شماره
صفحات -
تاریخ انتشار 2009