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Tetravalent half-arc-transitive graphs of order p5

Huiwen Cheng and Li Cui

Applied Mathematics and Computation, 2018, vol. 332, issue C, 506-518

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.

Keywords: Half-arc-transitive; Normal; Cayley graph (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:332:y:2018:i:c:p:506-518

DOI: 10.1016/j.amc.2018.03.076

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