Non-commuting graphs of rings

DOI10.1142/S1793830915500275zbMath1330.05082OpenAlexW1915991963MaRDI QIDQ3451065

Kazem Khashyarmanesh, Khosro Nafar, Ahmad Erfanian

Publication date: 10 November 2015

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830915500275

zbMATH Keywords

ringnon-commuting graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (6)

Unnamed Item ⋮ Non-commuting graphs and some bounds for commutativity degree of finite Moufang loops ⋮ On the 2-Token Graphs of Some Disjoint Union of Graphs ⋮ Unnamed Item ⋮ Various spectra and energies of commuting graphs of finite rings ⋮ Spectrum and genus of commuting graphs of some classes of finite rings

Cites Work

• Commuting graphs of full matrix rings over finite fields.
• Groups with the same non-commuting graph.
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Some applications of graph theory to finite groups
• On the zero-divisor graph of a commutative ring
• On commuting graphs of semisimple rings
• Engel graph associated with a group.
• Non-commuting graph of a group.
• Groups as Unions of Proper Subgroups
• NON-CYCLIC GRAPH ASSOCIATED WITH A GROUP
• Groups Which are the Union of Three Subgroups
• The commuting graph of minimal nonsolvable groups

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