On divisible design Cayley graphs

DOI10.26493/2590-9770.1340.364zbMath1469.05112arXiv1906.12162OpenAlexW3120703221MaRDI QIDQ4958980

Leonid Viktorovich Shalaginov, Vladislav V. Kabanov

Publication date: 15 September 2021

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12162

zbMATH Keywords

Cayley graphdivisible designDeza graphdivisible design graphaffine group over a finite fielddivisible different set

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General block designs in finite geometry (51E05) Graph designs and isomorphic decomposition (05C51)

Related Items (6)

New versions of the Wallis-Fon-Der-Flaass construction to create divisible design graphs ⋮ On WL-rank of Deza Cayley graphs ⋮ Spectra of strongly Deza graphs ⋮ Divisible design Cayley digraphs ⋮ On WL-rank and WL-dimension of some Deza circulant graphs ⋮ New constructions of divisible design Cayley graphs

Cites Work

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• \((0,\lambda)\)-graphs and \(n\)-cubes
• Classification of small \((0,2)\)-graphs
• Cayley-Deza graphs with fewer than 60 vertices
• Divisible difference sets with multiplier -1
• Semi-regular divisible designs and Frobenius groups
• Divisible designs and groups
• Symmetric group divisible designs with the dual property
• Finite geometry and character theory
• Walk-regular divisible design graphs
• Divisible design graphs
• Deza graphs: A generalization of strongly regular graph
• Combinatorial Properties of Group Divisible Incomplete Block Designs

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