A generalization of zero divisor graphs associated to commutative rings

DOI10.1007/s12044-018-0389-0zbMath1400.05107OpenAlexW2790744337WikidataQ130104642 ScholiaQ130104642MaRDI QIDQ1754555

N. Vaez Moosavi, Kazem Khashyarmanesh, Mojgan Afkhami, Ahmad Erfanian

Publication date: 31 May 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0389-0

zbMATH Keywords

genuszero-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) Eulerian and Hamiltonian graphs (05C45)

Cites Work

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• Coloring of commutative rings
• Orientable and non orientable genus of the complete bipartite graph
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• The genus of the Cartesian product of two graphs
• On the Zero-Divisor Graph of a Ring

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