A. Asghar Talebi - Department of Mathematics University of Mazandaran, Babolsar, Iran
Let \(G\) be a group and \(S\) a subset of \(G\) such that \(1_G\not\in S\) and \(S=S−1\). Let \(\Gamma=Cay(G,S)\) be a Cayley graph on \(G\) relative to. Then \(\Gamma\) is said to be normal edge-transitive, if \(N_{Aut}(\Gamma)(G)\) acts transitively on edges. In this paper we determine all normal edge-transitive Cayley graphs on a dihedral Group \(D_{2n}\) of valency \(n\). In addition we classify normal edge-transitive Cayley graphs \(\Gamma=Cay(D_{2p},S)\) of valency four, for a prime \(p\) and give some normal edge-transitive Cayley graphs \(\Gamma=Cay(D_{2n},S)\) of valency four that \(n\) is not a prime .
A. Asghar Talebi, Some Normal Edge-transitive Cayley Graphs on Dihedral Groups, Journal of Mathematics and Computer Science, 2 (2011), no. 3, 448--452
Talebi A. Asghar, Some Normal Edge-transitive Cayley Graphs on Dihedral Groups. J Math Comput SCI-JM. (2011); 2(3):448--452
Talebi, A. Asghar. "Some Normal Edge-transitive Cayley Graphs on Dihedral Groups." Journal of Mathematics and Computer Science, 2, no. 3 (2011): 448--452
