- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- Tetravalent normal edge-transitive Cayley graphs on a certain group of order $6n$
Tetravalent normal edge-transitive Cayley graphs on a certain group of order $6n$
Authors : Mohammad Reza Darafsheh, Maysam Yaghoobian
Pages : 1354-1359
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let $U_{6n}= \langle a,b|a^{2n}=b^{3}=1,a^{-1}ba=b^{-1}\rangle $ be a groupof order 6n. In this paper tetravalent normal edge-transitive Cayleygraphs on $U_{6n}$ are considered. In this way several nonequivalent normaledge-transitive Cayley graphs on $U_{6n}$ are obtained whose automorphismgroups are given exactly.Keywords : Cayley graph, automorphism group, normal edge-transitive Cayley graph, tetravalent graph