Perfect codes in \(m\)-Cayley hypergraphs

DOI10.1016/j.dam.2024.06.041zbMATH Open1547.05128MaRDI QIDQ6611056

Kantapong Wannatong, Yotsanan Meemark

Publication date: 26 September 2024

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

zbMATH Keywords

efficient dominating setperfect codeCayley hypergraph

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial codes (94B25)

Cites Work

• Cayley, Marty and Schreier hypergraphs
• Efficient dominating sets in Cayley graphs.
• Algebraic degree of spectra of Cayley hypergraphs
• On subgroup perfect codes in Cayley graphs
• Characterization of subgroup perfect codes in Cayley graphs
• Perfect codes in graphs
• On the subgroup perfect codes in Cayley graphs
• Independent perfect domination sets in Cayley graphs
• Perfect Codes in Cayley Graphs
• Efficient Dominating and Edge Dominating Sets for Graphs and Hypergraphs
• Subgroup Perfect Codes in Cayley Graphs
• Characterizing subgroup perfect codes by 2-subgroups

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