Graph invariants of the line graph of zero divisor graph of \(\mathbb{Z}_n \)

DOI10.1007/S12190-021-01567-0zbMath1486.05136OpenAlexW3170910320MaRDI QIDQ2142517

P. Singh, Vijay Kumar Bhat

Publication date: 27 May 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01567-0

zbMATH Keywords

line graphLaplacian energymetric dimensionZagreb indices

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex degrees (05C07)

Cites Work

• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• On the zero-divisor graph of a commutative ring
• Adjacency matrix and Wiener index of zero divisor graph \(\varGamma (Z_n)\)
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Construction algorithm for zero divisor graphs of finite commutative rings and their vertex-based eccentric topological indices
• Energy and Wiener index of total graph over ring \(\mathbb{Z}_n\)
• Graph Theory
• Zero-divisor graphs in commutative rings
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