Laplacian and Wiener index of extension of zero divisor graph

DOI10.1016/j.dam.2024.05.025zbMATH Open1544.05062MaRDI QIDQ6585262

Pallabi Bora, Kukil Kalpa Rajkhowa

Publication date: 9 August 2024

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplacian spectrumLaplacian matrixWiener indexzero divisor

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

• Unnamed Item
• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• The total graph of a commutative ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The Wiener index of the zero-divisor graph of \(\mathbb{Z}_n\)
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• On a New Extension of the Zero-Divisor Graph

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