On the lower bound for diameter of commuting graph of prime-square sized matrices

DOI10.2298/FIL1817993DzbMath1499.05359WikidataQ127989263 ScholiaQ127989263MaRDI QIDQ5086817

Damjana Kokol Bukovšek, David Dolžan, Bojan Kuzma

Publication date: 7 July 2022

Published in: Filomat (Search for Journal in Brave)

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 (1)

The commuting graph of the ring M ₃ (F _q )

Uses Software

• GAP

Cites Work

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• A matrix ring with commuting graph of maximal diameter
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• On diameter of the commuting graph of a full matrix algebra over a finite field
• The commuting graph of bounded linear operators on a Hilbert space
• Universal commutator graphs
• There is no upper bound for the diameter of the commuting graph of a finite group
• The diameter of the commuting graph of a finite group with trivial centre.
• Homomorphisms of commutativity relation
• Commuting graphs and extremal centralizers
• Commuting Graphs of Matrix Algebras
• On Commuting Graphs of Finite Matrix Rings
• Simple groups are characterized by their non-commuting graphs

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