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3-Valent Cayley Graphs Of Groups Of Order16p~2

Posted on:2014-01-29Degree:MasterType:Thesis
Country:ChinaCandidate:Y L LiFull Text:PDF
GTID:2230330398978316Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let G be a finite group and S a subset of G such that1(?)S,|S|=3. A Cayley graph X=Cay(G,S)of group G is said to be normal if R(G),the group of right mul-tiplications is normal in Aut(X).Let G=(α,b|α8p2=6.=1,αb=am),where m=±r, r=-1(mod8),r≠-1(mod8p),and r≠-1,where p is a prime.In this paper,we classify3一valent Cayley graphs of G,and show that any3一valent Cayley graph X=Cay(G,S) of group G is normalIAnd G is a weak3一CI group.
Keywords/Search Tags:Cayley graph, normal Cayley graph, dihedral group
PDF Full Text Request
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