The Edge Ideals of Complete Multipartite Hypergraphs

DOI10.1080/00927872.2014.900685zbMath1327.05348arXiv1402.2469OpenAlexW1873501663MaRDI QIDQ5500726

Sara Saeedi Madani, Dariush Kiani

Publication date: 7 August 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2469

zbMATH Keywords

vertex decomposableedge ideals(sequentially) Cohen-Macaulaycomplete \(s\)-uniform \(t\)-partite hypergraphs

Mathematics Subject Classification ID

Hypergraphs (05C65) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45)

Related Items (2)

Stanley-Reisner Rings ⋮ On the sequentially Cohen–Macaulay properties of almost complete multipartite graphs

Cites Work

• Unnamed Item
• Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
• Corrigendum to ``Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
• Characterizations of Buchsbaum complexes
• Resolutions of Stanley-Reisner rings and Alexander duality
• Sequentially $S_{r}$ simplicial complexes and sequentially $S_{2}$ graphs
• Vertex decomposable graphs and obstructions to shellability
• Complete Intersections and Connectedness
• Monomial Ideals
• Combinatorics and commutative algebra

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