A classification of tetravalent half-arc-transitive metacirculants of 2-power orders
Abstract Metacirculants were introduced by Alspach and Parsons in 1982 and have been a rich source of various topics since then. A graph is half-arc-transitive if its full automorphism group acts transitively on vertices and edges, but not on arcs. In Feng et al. (2007), the first infinite families of tetravalent half-arc-transitive metacirculants of order 2-powers were introduced. In this paper, a complete classification is given of tetravalent half-arc-transitive metacirculants of order 2-powers.