The projective 3-annihilating-ideal hypergraphs

DOI10.1142/S1793830922500057zbMath1493.05152OpenAlexW3196708274MaRDI QIDQ5101893

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Publication date: 2 September 2022

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

Full work available at URL: https://doi.org/10.1142/s1793830922500057

zbMATH Keywords

hypergraphannihilating-ideal graphprojective graphincidence graphplanar hypergraph

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Structure of finite commutative rings (13M05)

Cites Work

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• Minimal prime ideals and cycles in annihilating-ideal graphs
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• Hypermaps versus bipartite maps
• Classification of non-local rings with projective 3-zero-divisor hypergraph
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• On the genus of the \(k\)-annihilating-ideal hypergraph of commutative rings
• Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• Forbidden minors and subdivisions for toroidal graphs with no K3,3's
• Annihilating-ideal graphs of commutative rings
• On planarity of compressed zero-divisor graphs associated to commutative rings
• On the connectivity of the annihilating-ideal graphs

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