NDLI: Normal Cayley graphs of finite groups

Content Provider	Springer Nature Link
Author	Wang, Changqun Wang, Dianjun Xu, Mingyao
Copyright Year	1998
Abstract	LetG be a finite group and let S be a nonempty subset of G not containing the identity element 1. The Cayley (di) graph X = Cay(G, S) of G with respect to S is defined byV (X)=G, E (X)={(g,sg)\|g∈G, s∈S} A Cayley (di) graph X = Cay (G,S) is said to be normal ifR(G) ◃A = Aut (X). A group G is said to have a normal Cayley (di) graph if G has a subset S such that the Cayley (di) graph X = Cay (G, S) is normal. It is proved that every finite group G has a normal Cayley graph unlessG≅ℤ$_{4}$×ℤ$_{2}$ orG≅Q $_{8}$×ℤ 2 r (r⩾0) and that every finite group has a normal Cayley digraph, where Z$_{m}$ is the cyclic group of orderm and Q$_{8}$ is the quaternion group of order 8.
Starting Page	242
Ending Page	251
Page Count	10
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	41
Issue Number	3
e-ISSN	18622763
Language	English
Publisher	Science Press
Publisher Date	1998-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	Cayley graph normal Cayley (di) graph Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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