On a conjecture about the commuting graphs of finite matrix rings

DOI10.1016/j.ffa.2018.11.003zbMath1407.05146OpenAlexW2902015378WikidataQ123121546 ScholiaQ123121546MaRDI QIDQ1734664

H. R. Dorbidi

Publication date: 27 March 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.11.003

zbMATH Keywords

finite fieldcentralizercommuting graph

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (2)

The commuting graph of the ring M ₃ (F _q ) ⋮ Commuting involution graphs for 4-dimensional projective symplectic groups

Cites Work

• A matrix ring with commuting graph of maximal diameter
• 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.
• On commuting graphs of semisimple rings
• On the diameter of the commuting graph of the full matrix ring over the real numbers
• Commuting graphs of some subsets in simple rings
• Commuting Graphs of Matrix Algebras
• On Commuting Graphs of Finite Matrix Rings
• Unnamed Item

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