Petersen type n-circulant and weak metacirculant

Li Cui and Jin-Xin Zhou

Applied Mathematics and Computation, 2019, vol. 358, issue C, 251-261

Abstract: In this paper, we extend the class of multilayer generalized Petersen graphs introduced in [J. Combin. Theory Ser. A 155 (2018) 225–243] to a class of Petersen type n-circulants. We give a characterization of G-vertex-transitive Petersen type n-circulants Γ of odd prime power order and smallest possible valency, where G ≤ Aut (Γ) is a metacyclic group. As a result, we construct a class of non-Cayley graphs which have a vertex-transitive non-split metacyclic group of automorphisms. This corrects an error in the literature regarding weak metacirculants.

Keywords: Metacirculant; Metacyclic; Cayley graph; Petersen graph (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:358:y:2019:i:c:p:251-261

DOI: 10.1016/j.amc.2019.04.053

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