Tetravalent normal edge-transitive Cayley graphs on a certain group of order $6n$

Authors

MOHAMMAD REZA DARAFSHEH
MAYSAM YAGHOOBIAN

DOI

10.3906/mat-1504-39

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

First Page

1354

Last Page

1359

Recommended Citation

DARAFSHEH, MOHAMMAD REZA and YAGHOOBIAN, MAYSAM (2017) "Tetravalent normal edge-transitive Cayley graphs on a certain group of order $6n$," Turkish Journal of Mathematics: Vol. 41: No. 5, Article 24. https://doi.org/10.3906/mat-1504-39
Available at: https://journals.tubitak.gov.tr/math/vol41/iss5/24