Boolean rings and reciprocal eigenvalue properties

DOI10.1016/j.laa.2011.05.042zbMath1242.13031OpenAlexW2056821469MaRDI QIDQ2427888

John D. LaGrange

Publication date: 19 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.05.042

zbMATH Keywords

adjacency matrixzero-divisor graphstrong reciprocal property

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Finite commutative rings (13M99)

Related Items (11)

Inverse of the adjacency matrices and strong anti-reciprocal eigenvalue property ⋮ On graphs with strong anti-reciprocal eigenvalue property ⋮ A combinatorial development of Fibonacci numbers in graph spectra ⋮ Signed graphs with strong anti-reciprocal eigenvalue property ⋮ Unnamed Item ⋮ Class of weighted graphs with strong anti-reciprocal eigenvalue property ⋮ On some graphs which satisfy reciprocal eigenvalue properties ⋮ Noncorona graphs with strong anti-reciprocal eigenvalue property ⋮ Spectra of Boolean Graphs Over Finite Fields of Characteristic Two ⋮ Some new families of noncorona graphs with strong anti-reciprocal eigenvalue property ⋮ Spectrum of the zero-divisor graph of von Neumann regular rings

Cites Work

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• On zero-divisor graphs of small finite commutative rings
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Complemented zero-divisor graphs and Boolean rings
• Properties of rings with a finite number of zero divisors
• Characterizations of Three Classes of Zero-Divisor Graphs
• Zero-divisor graphs in commutative rings
• On nonsingular trees and a reciprocal eigenvalue property
• Unicyclic graphs with strong reciprocal eigenvalue property
• The Zero-Divisor Graphs Which Are Uniquely Determined By Neighborhoods
• The Spectrum of the Corona of Two Graphs

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