Isomorphism problem for metacirculant graphs of order a product of distinct primes

被引:22
作者
Dobson, E [1 ]
机构
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70808 USA
[2] Oklahoma State Univ, Stillwater, OK 74078 USA
来源
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1998年 / 50卷 / 06期
关键词
D O I
10.4153/CJM-1998-057-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we solve the isomorphism problem for metacirculant graphs of order pq that are not circulant. To solve this problem, we first extend Babai's characterization of the CI-property to non-Cayley vertex-transitive hypergraphs. Additionally, we find a simple characterization of metacirculant Cayley graphs of order pg, and exactly determine the full isomorphism classes of circulant graphs of order pq.
引用
收藏
页码:1176 / 1188
页数:13
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