Distance-regular Cayley graphs on dihedral groups

DOI10.1016/j.jctb.2006.03.003zbMath1107.05102OpenAlexW2053568403MaRDI QIDQ858678

Štefko Miklavič, Primož Potočnik

Publication date: 11 January 2007

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2006.03.003

zbMATH Keywords

difference setdihedrant

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (14)

Distance-regular Cayley graphs with least eigenvalue \(-2\) ⋮ Eigenvalues of Cayley graphs ⋮ On bipartite distance-regular Cayley graphs with small diameter ⋮ On distance-regular Cayley graphs of generalized dicyclic groups ⋮ The structure of Cayley graphs of dihedral groups of Valencies 1, 2 and 3 ⋮ Directed strongly regular Cayley graphs on dihedral groups ⋮ Partial sum quadruples and bi-abelian digraphs ⋮ Distance-regular Cayley graphs over dicyclic groups ⋮ On minimal distance-regular Cayley graphs of generalized dihedral groups ⋮ Classification of 2-arc-transitive dihedrants ⋮ On distance-regular Cayley graphs on abelian groups ⋮ Distance-regular Cayley graphs with small valency ⋮ Strongly regular tri-Cayley graphs ⋮ Finite edge-transitive dihedrant graphs

Cites Work

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• Difference sets in dihedral groups
• Distance regular covers of the complete graph
• On 2-arc-transitivity of Cayley graphs
• Distance-regular circulants
• Finite geometry and character theory
• Characters and cyclotomic fields in finite geometry
• Relative difference sets fixed by inversion and Cayley graphs
• Zur Theorie der einfach transitiven Permutationsgruppen. II

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