Classification of non-local rings with projective 3-zero-divisor hypergraph

DOI10.1007/s11587-016-0313-9zbMath1375.05131OpenAlexW2549828596MaRDI QIDQ1683910

V. Ramanathan, K. Selvakumar

Publication date: 1 December 2017

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-016-0313-9

zbMATH Keywords

projective graphincidence graphcrosscap\(k\)-zero-divisor hypergraph

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) General commutative ring theory (13A99)

Related Items (5)

The projective 3-annihilating-ideal hypergraphs ⋮ On the genus of the k-maximal hypergraph of commutative rings ⋮ On the genus of the \(k\)-annihilating-ideal hypergraph of commutative rings ⋮ On projective intersection graph of ideals of commutative rings ⋮ A note on subspace sum graph of vector spaces

Cites Work

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• Zero-divisor graphs of genus one
• On zero-divisor graphs of small finite commutative rings
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• The \(k\)-zero-divisor hypergraph of a commutative ring
• Classification of rings with projective zero-divisor graphs
• 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
• On the genus of generalized unit and unitary Cayley graphs of a commutative ring
• Planar zero-divisor graphs
• The diameter of a zero divisor graph
• Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs
• Local Rings with Genus Two Zero Divisor Graph
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• Forbidden minors and subdivisions for toroidal graphs with no K3,3's
• On the Zero-Divisor Graph of a Ring
• On the Genus of the Total Graph of a Commutative Ring
• Classification of Rings with Genus One Zero-Divisor Graphs
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