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4-Valent Cayley Graphs Of Order 2pq

Posted on:2017-04-27Degree:MasterType:Thesis
Country:ChinaCandidate:M LuoFull Text:PDF
GTID:2180330485486978Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let G be a finite group and S a subset of G such that 1(?)S. A Cayley graph X=Cay(G,s)of group G is said to be normal if R(G),the group of right multiplications is normal in Aut(X).Denote G=(a,b|apq=b2=1,ab=a1-p),where p,q are odd primes, p>q>5,and q | p-2.In this paper,by investigating the normality of G,we classify its 4-valent Cayley graphs,and prove that any 4-valent Cayley graph.X=Cay(G,S) is normal.
Keywords/Search Tags:Cayley graph, right regular representation, group of Cayley graph
PDF Full Text Request
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