Commuting graphs of matrices over semirings.

DOI10.1016/j.laa.2010.04.014zbMath1231.16037OpenAlexW4205100189MaRDI QIDQ550667

Polona Oblak, David Dolžan

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.014

zbMATH Keywords

nilpotent matricessemiringscommuting graphs

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Semirings (16Y60)

Related Items (15)

Invertible matrices over a class of semirings ⋮ A matrix ring with commuting graph of maximal diameter ⋮ On invertible matrices over commutative semirings ⋮ گراف ناجابجایی عملگرهای خطی کران دار روی یک فضای هیلبرت ⋮ The total graphs of finite commutative semirings ⋮ A note on a conjecture about commuting graphs ⋮ On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups ⋮ Automorphisms of a commuting graph of rank one upper triangular matrices ⋮ Graphs defined by orthogonality. ⋮ Diameters of commuting graphs of matrices over semirings ⋮ Automorphism group of an ideal-relation graph over a matrix ring ⋮ On the Commuting Graph of Dihedral Group ⋮ DIAMETER OF COMMUTING GRAPHS OF SYMPLECTIC ALGEBRAS ⋮ The connectivity and the spectral radius of commuting graphs on certain finite groups ⋮ The commuting graph of the symmetric inverse semigroup

Cites Work

• Unnamed Item
• On the diameters of commuting graphs
• On invertible matrices over antirings
• On nilpotent matrices over antirings
• Invertible and nilpotent matrices over antirings
• Commuting graphs of some subsets in simple rings
• ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
• The commuting graph of minimal nonsolvable groups

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