Perfect codes in power graphs of finite groups

DOI10.1515/MATH-2017-0123zbMath1386.05088OpenAlexW2772639128MaRDI QIDQ1687066

Ruiqin Fu, Xuefei Lu, Mengxia Guo, Xuan Long Ma, Zhi-Qin Zhao

Publication date: 19 December 2017

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

Full work available at URL: https://doi.org/10.1515/math-2017-0123

zbMATH Keywords

finite grouppower graphperfect codetotal perfect codeenhanced power graph

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) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (5)

Finite groups with the same power graph ⋮ Certain properties of the enhanced power graph associated with a finite group ⋮ Perfect codes in proper reduced power graphs of finite groups ⋮ Some properties of various graphs associated with finite groups ⋮ Finite groups with star-free noncyclic graphs

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