On normalized Laplacian spectrum of zero divisor graphs of commutative ring ℤn

DOI10.5614/ejgta.2021.9.2.7zbMath1482.05207OpenAlexW3207134441MaRDI QIDQ5061683

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Publication date: 14 March 2022

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5614/ejgta.2021.9.2.7

zbMATH Keywords

normalized Laplacian matrixzero divisor graphnormalized Laplacian spectrum

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) Distance in graphs (05C12)

Related Items (7)

On distance signless Laplacian spectra of power graphs of the integer modulo group ⋮ On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups ⋮ On the cozero-divisor graphs associated to rings ⋮ Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring \(\mathbb{Z}_n\) ⋮ On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups ⋮ On Randić spectrum of zero divisor graphs of commutative ring $mathbb{Z}_{n} $ ⋮ On the normalized distance Laplacian eigenvalues of graphs

Cites Work

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• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Resistance distance and the normalized Laplacian spectrum
• 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 \(\mathbb{Z}_n\)
• Signless Laplacian and normalized Laplacian on the H-join operation of graphs
• Matrix Analysis
• On signless Laplacian spectrum of the zero divisor graphs of the ring $\mathbb{Z}_{n}$
• On distance Laplacian spectrum of zero divisor graphs of the ring $\mathbb{Z}_{n}$
• On the eigenvalues of zero-divisor graph associated to finite commutative ring

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