Distances on the commuting graph of the ring of real matrices

DOI10.1134/S0001434618050152zbMath1394.05052OpenAlexW2810183195WikidataQ129647861 ScholiaQ129647861MaRDI QIDQ1668078

Yaroslav N. Shitov

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618050152

zbMATH Keywords

matrix theorycommuting graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Basic linear algebra (15A99)

Related Items (4)

Higher-distance commuting varieties ⋮ Commuting involution graphs for 4-dimensional projective symplectic groups ⋮ On the commuting graph of semidihedral group ⋮ On the connectivity and equality of some graphs on finite semigroups

Cites Work

• A matrix ring with commuting graph of maximal diameter
• On the diameter of the commuting graph of the matrix ring over a centrally finite division ring
• A note on a conjecture about commuting graphs
• Diameters of commuting graphs of matrices over semirings
• Minimal paths in the commuting graphs of semigroups
• On the diameters of commuting graphs
• On diameter of the commuting graph of a full matrix algebra over a finite field
• Some applications of graph theory to finite groups
• On commuting graphs of semisimple rings
• There is no upper bound for the diameter of the commuting graph of a finite group
• On the diameter of the commuting graph of the full matrix ring over the real numbers
• The diameters of commuting graphs of linear groups and matrix rings over the integers modulo m
• Commuting Graphs of Matrix Algebras
• The Missing Fields
• Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable

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