Adjacency matrix and Wiener index of zero divisor graph \(\varGamma (Z_n)\)

DOI10.1007/s12190-020-01460-2zbMath1475.05043OpenAlexW3100575137MaRDI QIDQ2053250

Vijay Kumar Bhat, P. Singh

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s12190-020-01460-2

zbMATH Keywords

Wiener indextopological indicesLaplacian energyZagreb indices

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (6)

Graph invariants of the line graph of zero divisor graph of \(\mathbb{Z}_n \) ⋮ On relations between Sombor and other degree-based indices ⋮ Fault-tolerant metric dimension of zero-divisor graphs of commutative rings ⋮ Continuous mean distance of a weighted graph ⋮ Computing forgotten topological index of zero-divisor graphs of commutative rings ⋮ Graph energy and topological descriptors of zero divisor graph associated with commutative ring

Cites Work

• On topological properties of the line graphs of subdivision graphs of certain nanostructures
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• On certain topological indices of the line graph of subdivision graphs
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Mathematical aspects of Wiener index
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