On diameter of components in commuting graphs

DOI10.1016/j.laa.2017.02.001zbMath1358.05172OpenAlexW2587871510MaRDI QIDQ518118

David Dolžan, Bojan Kuzma, Damjana Kokol Bukovšek

Publication date: 28 March 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.02.001

zbMATH Keywords

matrix algebradiametercommuting graphfield

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Commutativity of matrices (15A27) Distance in graphs (05C12)

Related Items (3)

On the lower bound for diameter of commuting graph of prime-square sized matrices ⋮ The commuting graph of the ring M ₃ (F _q ) ⋮ On the commuting graph of semidihedral group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A matrix ring with commuting graph of maximal diameter
• On groups of even order
• On the diameters of commuting graphs
• On diameter of the commuting graph of a full matrix algebra over a finite field
• Commuting graphs of full matrix rings over finite fields.
• The hyperinvariant subspace lattice of a linear transformation
• Invertible preservers and algebraic groups
• On factors of a decreasing central series
• Commuting Graphs of Matrix Algebras
• On Commuting Graphs of Finite Matrix Rings
• A generalized group algebra for compact groups
• Simple groups are characterized by their non-commuting graphs

This page was built for publication: On diameter of components in commuting graphs