TY - JOUR AU - Talebi, A. Asghar PY - 2011 TI - Some Normal Edge-transitive Cayley Graphs on Dihedral Groups JO - Journal of Mathematics and Computer Science SP - 448--452 VL - 2 IS - 3 AB - 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 . SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.02.03.07 DO - 10.22436/jmcs.02.03.07 ID - Talebi2011 ER -