Subgroup regular sets in Cayley graphs

DOI10.1016/j.disc.2022.113023OpenAlexW3163437779MaRDI QIDQ2166283

Yanpeng Wang, Sanming Zhou, Binzhou Xia

Publication date: 24 August 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03913

zbMATH Keywords

Cayley graphperfect codeperfect coloringperfect 2-coloringregular set

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Theory of error-correcting codes and error-detecting codes (94Bxx) Designs and configurations (05Bxx)

Related Items (1)

A NOTE ON REGULAR SETS IN CAYLEY GRAPHS

Cites Work

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• Total perfect codes in Cayley graphs
• Perfect codes over graphs
• Efficient dominating sets in Cayley graphs.
• Cyclotomic graphs and perfect codes
• Corrigendum to: ``On subgroup perfect codes in Cayley graphs
• Equitable 2-partitions of the Hamming graphs with the second eigenvalue
• On subgroup perfect codes in Cayley graphs
• Extremal even-cycle-free subgraphs of the complete transposition graphs
• Characterization of subgroup perfect codes in Cayley graphs
• An overview of \((\kappa, \tau)\)-regular sets and their applications
• A combinatorial problem in the symmetric group
• Perfect codes in graphs
• Regular sets in Cayley graphs
• Independent perfect domination sets in Cayley graphs
• Perfect Codes in Cayley Graphs
• On Perfect 2‐Colorings of Johnson Graphs J(v, 3)
• On non-normal subgroup perfect codes
• 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
• A survey of perfect codes
• A survey of perfect codes

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