Planar, outerplanar, and toroidal graphs of the generalized zero-divisor graph of commutative rings

DOI10.1155/2021/4828579zbMath1477.13019OpenAlexW3187121451MaRDI QIDQ2666417

Mohd. Nazim, Nadeem ur Rehman, Abdulaziz M. Alanazi

Publication date: 22 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4828579

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items

On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings, On the genus of extended zero-divisor graph of commutative rings

Cites Work

• Zero-divisor graphs of genus one
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The zero-divisor graph of a commutative semigroup
• Dominating Sets of Some Graphs Associated to Commutative Rings
• Classification of Rings with Genus One Zero-Divisor Graphs
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