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4-Valent Cayley Graphs Of Groups Of Order 8p

Posted on:2016-05-31Degree:MasterType:Thesis
Country:ChinaCandidate:F Y SiFull Text:PDF
GTID:2180330461451537Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let G be a finite group and T a subset of G such that 1 (?) T. A Cayley graph X = Cay(G, T) of group G is said to be normal if R(G), the group of right multiplications is normal in Aut(X). Let G = (<a> x <b> x <c>):<g>, where a2= b2= cp= g2= 1, ag b, bg = a, cg= c-1, p> 7 a prime. In this paper, we determine 4- valent Cayley graphs of G by investigating their normality. In addition, we obtain several infinite families of non-normal Cayley graphs.
Keywords/Search Tags:Cayley graph, normal Cayley graph, automorphisms
PDF Full Text Request
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