Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs
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Publication:1754551
DOI10.1007/s12044-018-0380-9zbMath1393.13041arXiv1305.5954OpenAlexW2964095726MaRDI QIDQ1754551
Fahimeh Khosh-Ahang Ghasr, Somayeh Moradi
Publication date: 31 May 2018
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.5954
Hypergraphs (05C65) Homological dimension and commutative rings (13D05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45)
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Cites Work
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Results on the regularity of square-free monomial ideals
- Vertex-decomposable graphs, codismantlability, Cohen-Macaulayness, and Castelnuovo-Mumford regularity
- Matchings, coverings, and Castelnuovo-Mumford regularity
- Bounds for the regularity of edge ideal of vertex decomposable and shellable graphs
- Chordal and sequentially Cohen-Macaulay clutters
- Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
- Dirac's theorem on chordal graphs and Alexander duality
- Projective dimension, graph domination parameters, and independence complex homology
- Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
- On Vertex Decomposable Simplicial Complexes and Their Alexander Duals
- Projective Dimension of String and Cycle Hypergraphs
- Resolutions of Facet Ideals
- Splittings of monomial ideals
- A class of hypergraphs that generalizes chordal graphs
- Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs
