A graph is said to be half-arc-transitive if its automorphism group acts transitively on its vertex set and its edge set, but not on its arc set. A graph is a weak metacirculant if it admits a transitive subgroup of automorphisms { ? , ? } , where ? is semiregular and ? normalizes ? .The main result of this paper is a complete classification of quartic half-arc-transitive weak metacirculants of girth at most 4.
['Iva Antončič', 'Primož Šparl']
Classification of quartic half-arc-transitive weak metacirculants of girth at most 4