Finite locally primitive abelian Cayley graphs

Let Γ be a finite connected locally primitive Cayley graph of an abelian group. It is shown that one of the following holds: (1) Γ = K n , K n,n , K n,n − n K 2 , K n × … × K n ; (2) Γ is the standard double cover of K n × … × K n ; (3) Γ is a normal or a bi-normal Cayley graph of an elementary abel...

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Bibliographic Details
Published in:Science China. Mathematics 2011-04, Vol.54 (4), p.845-854
Main Authors: Li, CaiHeng, Lou, BenGong, Pan, JiangMin
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Summary:Let Γ be a finite connected locally primitive Cayley graph of an abelian group. It is shown that one of the following holds: (1) Γ = K n , K n,n , K n,n − n K 2 , K n × … × K n ; (2) Γ is the standard double cover of K n × … × K n ; (3) Γ is a normal or a bi-normal Cayley graph of an elementary abelian or a meta-abelian 2-group.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-010-4134-0