On arc-transitive pentavalent graphs of order 2mpn

Da-Wei Yang, Rongquan Feng and Xiao-Hui Hua

Applied Mathematics and Computation, 2019, vol. 355, issue C, 269-281

Abstract: A graph Γ is symmetric or arc-transitive if its automorphism group Aut(Γ) is transitive on the arc set of the graph. Let p be an odd prime. Pentavalent symmetric graphs of order 2pn with n ≥ 2 have been considered by Pan et al. in [Algebra Colloq. 22 (2015) 383-394] and by Feng et al. in [Discrete Math. 339 (2016) 2640-2651]. This paper gives a depiction of pentavalent symmetric graphs of order 2mpn for any integers m ≥ 2 and n ≥ 1. As an application, connected pentavalent symmetric graphs of order 16p, 8p2 and 8p3 are classified.

Keywords: Symmetric graph; Arc-transitive; Normal cover (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:355:y:2019:i:c:p:269-281

DOI: 10.1016/j.amc.2019.02.074

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