A NOTE ON REGULAR SETS IN CAYLEY GRAPHS

DOI10.1017/s0004972723000084arXiv2212.01781MaRDI QIDQ6191810

Yanhong Zhu, Jun-Yang Zhang

Publication date: 12 February 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.01781

zbMATH Keywords

Cayley graphfinite groupperfect coderegular set

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial codes (94B25) Group actions on combinatorial structures (05E18)

Cites Work

• Spectral results on graphs with regularity constraints
• Main eigenvalues and \((\kappa ,\tau )\)-regular sets
• Equitable bipartitions of graphs and related results
• Subgroup regular sets in Cayley graphs
• Some codes in symmetric and linear groups
• An overview of \((\kappa, \tau)\)-regular sets and their applications
• Relations between (κ, τ)-regular sets and star complements
• Perfect Codes in Cayley Graphs

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