Spectrum of the zero-divisor graph of von Neumann regular rings

DOI10.1142/S0219498822501936zbMath1497.05118MaRDI QIDQ5867552

Kiran Shinde, Avinash Patil

Publication date: 14 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Laplacian eigenvaluezero-divisor graphvon Neumann regular ring

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) General commutative ring theory (13A99)

Related Items (1)

On the cozero-divisor graphs associated to rings

Cites Work

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• A combinatorial development of Fibonacci numbers in graph spectra
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Spectra of graphs obtained by a generalization of the join graph operation
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Boolean rings and reciprocal eigenvalue properties
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS

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