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Automorphisms of Cayley graphs of metacyclic groups of prime-power order
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 2001
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