Regular sets in Cayley graphs

DOI10.1007/s10801-022-01181-8OpenAlexW3160046604MaRDI QIDQ2701120

Binzhou Xia, Yanpeng Wang, Sanming Zhou

Publication date: 27 April 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05100

zbMATH Keywords

Cayley graphperfect codeequitable partitionregular set

Mathematics Subject Classification ID

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

Related Items (1)

Subgroup regular sets in Cayley graphs

Cites Work

• Total perfect codes in Cayley graphs
• Perfect codes over graphs
• Completely regular codes
• Efficient dominating sets in Cayley graphs.
• An overview of \((\kappa, \tau)\)-regular sets and their applications
• Über einfache und mehrfache Bedeckung des \(n\)-dimensionalen Raumes mit einem Würfelgitter
• Independent perfect domination sets in Cayley graphs
• Perfect Codes in Cayley Graphs
• Subgroup Perfect Codes in Cayley Graphs
• Equitable partitions of Latin‐square graphs
• Factoring Finite Abelian Groups by Subsets with Maximal Span
• Full Rank Tilings of Finite Abelian Groups
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