A topological property of a hypergraph assigned to commutative rings

DOI10.1142/s0219498825500938MaRDI QIDQ6669431

K. Selvakumar, Ali Reza Moniri Hamzekolaee, Unnamed Author

Publication date: 22 January 2025

Published in: Journal of Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

hypergraphgenuszero-divisor graphincidence graphcrosscap

Mathematics Subject Classification ID

Hypergraphs (05C65) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99)

Cites Work

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• On the planarity of the \(k\)-zero-divisor hypergraphs
• Rings whose total graphs have genus at most one
• Zero-divisor graphs of genus one
• The \(k\)-zero-divisor hypergraph of a commutative ring
• Coloring of commutative rings
• Hypermaps versus bipartite maps
• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Classification of non-local rings with projective 3-zero-divisor hypergraph
• Planar zero-divisor graphs
• Applying a hypergraph to determine the structure of some finite modules
• Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs
• The graph genus problem is NP-complete
• Graphs from Rings
• On characterization of finite modules by hypergraphs

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