On minimal directed strongly regular Cayley graphs over dihedral groups

Weijun Liu, Yueli Han and Lu Lu

Applied Mathematics and Computation, 2024, vol. 473, issue C

Abstract: Let G denote a dihedral group, where 1 is identity element and T⊆G∖{1}. We define T as minimal if T satisfies the condition 〈T〉=G, and there is an element s∈T satisfying 〈T∖{s,s−1}〉≠G. Within this manuscript, we achieve a complete characterization of the directed strongly regular Cayley graph Cay(G,T) of G, given the constraint that the subset T is minimal.

Keywords: Dihedral group; Cayley graph; Directed strongly regular graph (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:473:y:2024:i:c:s0096300324001176

DOI: 10.1016/j.amc.2024.128645

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