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

DOI10.1080/09728600.2021.2001701zbMath1487.05150OpenAlexW3217169206MaRDI QIDQ5074879

Saraswati Bajaj, Pratima Panigrahi

Publication date: 10 May 2022

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09728600.2021.2001701

zbMATH Keywords

eigenvalueeigenvectorcomplementzero divisor graphuniversal adjacency matrix

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) Divisibility and factorizations in commutative rings (13A05) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (1)

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

Cites Work

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• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Universal adjacency matrices with two eigenvalues
• Coloring of commutative rings
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• Universal spectra of the disjoint union of regular graphs
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Signless Laplacian and normalized Laplacian on the H-join operation of graphs
• Zero-divisor graphs in commutative rings
• On the eigenvalues of zero-divisor graph associated to finite commutative ring
• On the adjacency spectrum of zero divisor graph of ring ℤn

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