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Tetravalent half-arc-transitive graphs of order p5

Author

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  • Cheng, Huiwen
  • Cui, Li

Abstract

A graph is half-arc-transitive if its full automorphism group acts transitively on vertices and edges, but not on arcs. Let p be a prime. It is known that there exists no tetravalent half-arc-transitive graph of order p or p2. All the tetravalent half-arc-transitive graphs of order p3 or p4 have been classified in two previous papers [9,23]. As a continuation, in this paper, a classification is given of all tetravalent half-arc-transitive graphs of order p5.

Suggested Citation

  • Cheng, Huiwen & Cui, Li, 2018. "Tetravalent half-arc-transitive graphs of order p5," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 506-518.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:506-518
    DOI: 10.1016/j.amc.2018.03.076
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