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

Authors: MOHAMMAD REZA DARAFSHEH, MAYSAM YAGHOOBIAN

Abstract: Let $U_{6n}=?angle 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,

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