Weakly polymatroidal ideals with applications to vertex cover ideals

zbMath1203.13017MaRDI QIDQ601281

Somayeh Moradi, Fatemeh Mohammadi

Publication date: 4 November 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1285334469

zbMATH Keywords

syzygieshypergraphsmonomial ideals

Mathematics Subject Classification ID

Hypergraphs (05C65) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items

Recursive Betti numbers for Cohen-Macaulay \(d\)-partite clutters arising from posets ⋮ Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ Multigraded shifts of matroidal ideals ⋮ Symbolic powers of cover ideal of very well-covered and bipartite graphs ⋮ Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes ⋮ A quasi-additive property of homological shift ideals ⋮ Componentwise linearity of powers of cover ideals ⋮ Powers of vertex cover ideals of simplicial trees ⋮ Stanley depth of weakly polymatroidal ideals ⋮ Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs ⋮ Depth of powers of generalized Hibi ideals ⋮ Powers of the vertex cover ideals ⋮ Stanley depth of factors of polymatroidal ideals and the edge ideal of forests ⋮ Toric degenerations of flag varieties from matching field tableaux ⋮ Quasi-matroidal classes of ordered simplicial complexes

Cites Work

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• Sequentially Cohen-Macaulay edge ideals
• Standard graded vertex cover algebras, cycles and leaves
• Graded Betti numbers of ideals with linear quotients
• Vertex cover algebras of unimodular hypergraphs
• Componentwise linear ideals
• Some Families of Componentwise Linear Monomial Ideals