A classification of tetravalent half-arc-transitive metacirculants of 2-power orders

Li Cui and Jin-Xin Zhou

Applied Mathematics and Computation, 2021, vol. 392, issue C

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.

Keywords: Metacirculant; Cayley graph; Half-arc-transitive; Normal (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320307086

DOI: 10.1016/j.amc.2020.125755

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