Automorphisms of cubic Cayley graphs of order 2pq

作者:Zhang Cui; Zhou Jin Xin; Feng Yan Quan*
来源:Discrete Mathematics, 2009, 309(9): 2687-2695.
DOI:10.1016/j.disc.2008.06.023

摘要

In this paper the automorphism groups of connected cubic Cayley graphs of order 2pq for distinct odd primes p and q are determined. As an application, all connected cubic non-symmetric Cayley graphs of order 2pq are classified and this, together with classifications of connected cubic symmetric graphs and vertex-transitive non-Cayley graphs of order 2pq given by the last two authors, completes a classification of connected cubic vertex-transitive graphs of order 2pq.