A classification of tetravalent edge-transitive metacirculants of odd order

Abstract

In this paper a classification of tetravalent edge-transitive metacirculants is given. It is shown that a tetravalent edge-transitive metacirculant is a normal graph except for four known graphs. If further, is a Cayley graph of a non-abelian metacyclic group, then is half-transitive.

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