On tetravalent symmetric dihedrants

Jingjian Li, Shangjin Xu, Mengyue Cao and Zhe Kang

Applied Mathematics and Computation, 2017, vol. 306, issue C, 49-55

Abstract: Let Γ be a tetravalent X-arc-transitive Cayley graph of dihedral group for X ≤ AutΓ. Let Xv be the stabilizer of X on v ∈ VΓ. Γ has been determined when it is 2-arc-transitive or one-regular. This paper studies the case where Γ is one-transitive but not one-regular, and gives it an exactly characterization. As an application of this result, we give a compete classification of such graphs when |Xv| ≤ 24. By production, a compete classification is given for the stabilizers of tetravalent symmetric Cayley graphs whenever its order is less than 25.

Keywords: Cayley graph; Tetravalent symmetric; Core-free (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:306:y:2017:i:c:p:49-55

DOI: 10.1016/j.amc.2017.02.027

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