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

Author

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  • Cui, Li
  • Zhou, Jin-Xin

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.

Suggested Citation

  • Cui, Li & Zhou, Jin-Xin, 2021. "A classification of tetravalent half-arc-transitive metacirculants of 2-power orders," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320307086
    DOI: 10.1016/j.amc.2020.125755
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