Nonnormal Edge-Transitive Cubic Cayley Graphs of Dihedral Groups

الملخص EN

A Cayley graph of a finite group G is called normal edge transitive if its automorphism group has a subgroup which both normalizes G and acts transitively on edges.

In this paper we determine all cubic, connected, and undirected edge-transitive Cayley graphs of dihedral groups, which are not normal edge transitive.

This is a partial answer to the question of Praeger (1999).