a1 Department of Mathematics and Statistics, The University of Western Australia, Nedlands WA 6907, Australia e-mail: firstname.lastname@example.org
a2 Division of Mathematical Sciences, Pukyong National University, Pusan 608-737, Korea e-mail: email@example.com
This paper inverstigates the automorphism groups of Cayley graphs of metracyclic p-gorups. A characterization is given of the automorphism groups of Cayley grahs of a metacyclic p-group for odd prime p. In particular, a complete determiniation of the automophism group of a connected Cayley graph with valency less than 2p of a nonabelian metacyclic p-group is obtained as a consequence. In subsequent work, the result of this paper has been applied to solve several problems in graph theory.
(Received October 17 2000)
2000 Mathematics subject classification