Universal adjacency spectrum of the looped zero divisor graph of \(\mathbb{Z}_n\)

DOI10.1007/s40840-022-01361-6OpenAlexW4295152338MaRDI QIDQ2082366

Pratima Panigrahi, Saraswati Bajaj

Publication date: 4 October 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01361-6

zbMATH Keywords

eigenvectorspectrumuniversal adjacency matrixlooped zero divisor graph

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)

Cites Work

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• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Universal adjacency matrices with two eigenvalues
• The zero-divisor graph of a commutative ring
• On the solution of a second order linear homogeneous difference equation with variable coefficients
• On the spectrum of an equitable quotient matrix and its application
• Eigenvalues of zero-divisor graphs of finite commutative rings
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Zero-divisor ideals and realizable zero-divisor graphs
• Universal adjacency spectrum of zero divisor graph on the ring and its complement
• A Note on the Uniqueness of Zero-Divisor Graphs with Loops (Research)

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