Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring \(\mathbb{Z}_n\)

DOI10.1007/s12215-023-00927-yMaRDI QIDQ6123443

Mohd. Nazim, Nadeem ur Rehman

Publication date: 4 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

zero-divisor graphEuler's totient functionnormalized distance Laplacian matrixnormalized distance Laplacian spectrumring of integer modulo \(n\)

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• 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
• On the zero-divisor graph of a commutative ring
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• The normalized distance Laplacian
• On signless Laplacian spectrum of the zero divisor graphs of the ring $\mathbb{Z}_{n}$
• On normalized Laplacian spectrum of zero divisor graphs of commutative ring ℤn
• On normalized distance Laplacian eigenvalues of graphs and applications to graphs defined on groups and rings
• On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups

This page was built for publication: Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring \(\mathbb{Z}_n\)