Directed strongly regular Cayley graphs on dihedral groups

DOI10.1016/j.amc.2020.125651zbMath1473.05122arXiv1801.04748OpenAlexW3086562803MaRDI QIDQ2661042

Yiqin He, Bicheng Zhang, Rong Quan Feng

Publication date: 1 April 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04748

zbMATH Keywords

Cayley graphdihedral groupFourier transformationcharacter theorydirected strongly regular graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Directed strongly regular graphs from \(1\frac 12\)-designs
• Some families of directed strongly regular graphs obtained from certain finite incidence structures
• New tools for the construction of directed strongly regular graphs: difference digraphs and partial sum families
• Infinite families of directed strongly regular graphs using equitable partitions
• Distance-regular Cayley graphs on dihedral groups
• A directed graph version of strongly regular graphs
• Semidirect product constructions of directed strongly regular graphs
• Directed strongly regular graphs obtained from coherent algebras
• The application of representation theory in directed strongly regular graphs
• Finite geometry and character theory
• Small vertex-transitive directed strongly regular graphs
• A note on a family of directed strongly regular graphs

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