Perfect codes in Cayley sum graphs

DOI10.37236/9792zbMath1481.05070arXiv2007.08163OpenAlexW4210300005MaRDI QIDQ2073316

Kaishun Wang, Yuefeng Yang, Xuan Long Ma

Publication date: 1 February 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08163

zbMATH Keywords

efficient dominating setsubgroup perfect code

Mathematics Subject Classification ID

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

Related Items (2)

Subset Perfect Codes of Finite Commutative Rings Over Induced Subgraphs of Unit Graphs ⋮ On subgroup perfect codes in Cayley sum graphs

Cites Work

• Unnamed Item
• Total perfect codes in Cayley graphs
• Integral Cayley sum graphs and groups
• Efficient dominating sets in circulant graphs with domination number prime
• Efficient dominating sets in circulant graphs
• Perfect codes in circulant graphs
• On perfect codes in Cartesian products of graphs
• Subgroup perfect codes in Cayley sum graphs
• Perfect codes in direct products of cycles-a complete characterization
• Large sets in finite fields are sumsets
• Cayley sum graphs and eigenvalues of \((3,6)\)-fullerenes
• Perfect codes over graphs
• Efficient dominating sets in Cayley graphs.
• Cyclotomic graphs and perfect codes
• On subgraphs of random Cayley sum graphs
• On subgroup perfect codes in Cayley graphs
• Characterization of subgroup perfect codes in Cayley graphs
• Connectivity of addition Cayley graphs
• Perfect codes in graphs
• Independent perfect domination sets in Cayley graphs
• Diameters and Eigenvalues
• Perfect Codes in Cayley Graphs
• Subgroup Perfect Codes in Cayley Graphs
• A survey of perfect codes
• Sums and differences along Hamiltonian cycles
• A survey of perfect codes

This page was built for publication: Perfect codes in Cayley sum graphs