Graph energy and topological descriptors of zero divisor graph associated with commutative ring

DOI10.1007/S12190-023-01837-ZzbMath1518.05082OpenAlexW4360979307MaRDI QIDQ6138368

Ravi Sankar, Clement Johnson

Publication date: 5 September 2023

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

Full work available at URL: https://doi.org/10.1007/s12190-023-01837-z

zbMATH Keywords

energyadjacency matrixtopological indexcommutative ringzero divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Chemical graph theory (05C92) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

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• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Computing vertex-based eccentric topological descriptors of zero-divisor graph associated with commutative rings
• Adjacency matrix and Wiener index of zero divisor graph \(\varGamma (Z_n)\)
• Construction algorithm for zero divisor graphs of finite commutative rings and their vertex-based eccentric topological indices
• A new version of Zagreb indices
• Novel PI indices of hexagonal chains

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