Powers of the vertex cover ideals

DOI10.1007/s13348-013-0090-7zbMath1317.13027OpenAlexW2092512752MaRDI QIDQ486331

Fatemeh Mohammadi

Publication date: 15 January 2015

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/8667481

zbMATH Keywords

componentwise linear idealsedge idealsCohen-Macaulay graphsvertex cover ideals of graphs

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40)

Related Items (8)

Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ Rooted order on minimal generators of powers of some cover ideals ⋮ Symbolic powers of cover ideal of very well-covered and bipartite graphs ⋮ Componentwise linearity of powers of cover ideals ⋮ Powers of vertex cover ideals of simplicial trees ⋮ Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs ⋮ On the powers of vertex cover ideals ⋮ Symbolic powers of vertex cover ideals

Cites Work

• Weakly polymatroidal ideals with applications to vertex cover ideals
• Regularity of edge ideals of \(C_{4}\)-free graphs via the topology of the lcm-lattice
• Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
• Resolutions of Stanley-Reisner rings and Alexander duality
• Four counterexamples in combinatorial algebraic geometry
• Resolutions by mapping cones
• Cohen-Macaulay graphs
• Rigid resolutions and big Betti numbers
• Combinatorics and commutative algebra.
• \(C_{4}\)-free edge ideals
• Whiskers and sequentially Cohen-Macaulay graphs
• Cohen--Macaulay chordal graphs
• The depth of powers of an ideal
• Distributive lattices, bipartite graphs and Alexander duality
• Powers of Componentwise Linear Ideals
• Powers of the Vertex Cover Ideal of a Chordal Graph
• Weakly Polymatroidal Ideals
• Sequentially Cohen-Macaulay edge ideals
• Shellable Cactus Graphs
• Componentwise linear ideals
• Monomial Ideals

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