On the adjacency spectrum of zero divisor graph of ring ℤn

DOI10.1142/S0219498822501973zbMath1497.05143OpenAlexW3170176192MaRDI QIDQ5867558

Pratima Panigrahi, Saraswati Bajaj

Publication date: 14 September 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498822501973

zbMATH Keywords

characteristic polynomialtridiagonal matrixadjacency spectrumzero divisor graphcommutative ring with unity

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75) General commutative ring theory (13A99)

Related Items (1)

Universal adjacency spectrum of zero divisor graph on the ring and its complement

Cites Work

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• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Spectra of graphs obtained by a generalization of the join graph operation
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Zero Divisor Graphs of Finite Direct Products of Finite Rings

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