On the genus of extended zero-divisor graph of commutative rings

DOI10.1007/s12215-022-00843-7zbMath1524.13029OpenAlexW4310255316MaRDI QIDQ6054082

K. Selvakumar, Mohd. Nazim, Nadeem ur Rehman

Publication date: 24 October 2023

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

Full work available at URL: https://doi.org/10.1007/s12215-022-00843-7

zbMATH Keywords

planar graphzero-divisor graphgenus of a graphextended zero-divisor graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

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• Classification of rings with projective zero-divisor graphs
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• Classification of rings with toroidal and projective coannihilator graph
• Planar, outerplanar, and toroidal graphs of the generalized zero-divisor graph of commutative rings
• On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings
• Classification of Rings with Genus One Zero-Divisor Graphs

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