Automorphisms of Cayley graphs of metacyclic groups of prime-power order-Reference-Cited by-同舟云学术

Automorphisms of Cayley graphs of metacyclic groups of prime-power order

Published:2001-10 Issue:2 Volume:71 Page:223-232
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Li Caiheng,Sim Hyo-Seob

Abstract

AbstractThis paper inverstigates the automorphism groups of Cayley graphs of metracyclicp-gorups. A characterization is given of the automorphism groups of Cayley grahs of a metacyclicp-group for odd primep. In particular, a complete determiniation of the automophism group of a connected Cayley graph with valency less than 2pof a nonabelian metacyclicp-group is obtained as a consequence. In subsequent work, the result of this paper has been applied to solve several problems in graph theory.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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