On the eigenvalues of zero-divisor graph associated to finite commutative ring

DOI10.1080/09728600.2021.1873060zbMath1473.05185OpenAlexW3127750853MaRDI QIDQ5165013

Bilal Ahmad Wani, A. Somasundaram, Shariefuddin Pirzada

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1080/09728600.2021.1873060

zbMATH Keywords

adjacency matrixzero-divisor graphfinite commutative ringEuler's totient function

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Related Items (7)

Essential ideals represented by mod-annihilators of modules ⋮ On normalized Laplacian spectrum of zero divisor graphs of commutative ring ℤn ⋮ Universal adjacency spectrum of zero divisor graph on the ring and its complement ⋮ On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups ⋮ Unnamed Item ⋮ On Randić spectrum of zero divisor graphs of commutative ring $mathbb{Z}_{n} $ ⋮ On the Aα spectrum of the zero-divisor graphs

Cites Work

• Unnamed Item
• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• On zero divisor graphs of the rings \(Z_n\)
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• On 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 \(\mathbb{Z}_n\)

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