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Vietnam Journal of Mathematics 37:1 (2009) 43-48

The Normality of Cubic Cayley Graphs for Dihedral Groups

Mehdi Alaeiyan, M. Ghasemi, and G. R. Safakish 

Abstract.  A Cayley graph Γ = Cay(G,S) is called normal for G, if G_R, the right regular representation of G, is a normal subgroup of the full automorphism group Aut(Γ) of Γ. In this paper we determine the normality of connected and undirected Cayley graphs of valency three for dihedral groups.

2000 Mathematics Subject Classification: 05C25, 20B25.

Keywords: Cayley graph, normal Cayley graph, dihedral group, automorphism group.

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