HYPERGRAPHS AND REGULARITY OF SQUARE-FREE MONOMIAL IDEALS
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Publication:5746933
DOI10.1142/S0218196713500379zbMath1285.13017arXiv1211.4301OpenAlexW2104092042MaRDI QIDQ5746933
Kuei-Nuan Lin, Jason McCullough
Publication date: 11 February 2014
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.4301
Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)
Related Items
Stanley depth and Stanley support-regularity of monomial ideals ⋮ Lattices and hypergraphs associated to square-free monomial ideals ⋮ Hypergraphs with high projective dimension and 1-dimensional hypergraphs ⋮ The facet ideals of chessboard complexes ⋮ Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters ⋮ The antipode of linearized Hopf monoids ⋮ Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests ⋮ Projective Dimension of String and Cycle Hypergraphs ⋮ Regularity in weighted oriented graphs ⋮ Bounding the projective dimension of a squarefree monomial ideal via domination in clutters ⋮ Projective dimension of hypergraphs ⋮ Further applications of clutter domination parameters to projective dimension ⋮ Algebraic invariants of weighted oriented graphs
Uses Software
Cites Work
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Graded syzygies
- Regularity, depth and arithmetic rank of bipartite edge ideals
- Arithmetical rank of squarefree monomial ideals of small arithmetic degree
- Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
- Characteristic-independence of Betti numbers of graph ideals
- Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
- Resolutions of Facet Ideals
- Betti Numbers of Hypergraphs
