On the ideal-based zero-divisor graph of commutative rings

DOI10.1142/S1793830922501907zbMATH Open1537.05016MaRDI QIDQ6542938

N. Anusha, K. Selvakumar

Publication date: 23 May 2024

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalperfect graphplanarzero-divisor graphcrosscap

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Cites Work

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• On zero-divisor graphs of small finite commutative rings
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• On the zero-divisor graph of a commutative ring
• Graphs on surfaces
• The zero-divisor graph of a commutative ring. II.
• Local Rings with Genus Two Zero Divisor Graph
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• A note on ideal based zero-divisor graph of a commutative ring
• Zero-Divisor Graph with Respect to an Ideal
• Classification of Rings with Genus One Zero-Divisor Graphs

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