On the index of powers of edge ideals
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Publication:5745094
DOI10.1080/00927872.2017.1339058zbMath1428.13032arXiv1408.5475OpenAlexW1685801232MaRDI QIDQ5745094
Jürgen Herzog, Rashid Zaare-Nahandi, Mina Bigdeli
Publication date: 5 June 2018
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.5475
Syzygies, resolutions, complexes and commutative rings (13D02) Other special types of modules and ideals in commutative rings (13C13) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)
Related Items
Linearity of free resolutions of monomial ideals ⋮ On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals ⋮ Behaviour of the normalized depth function ⋮ Green-Lazarsfeld index of square-free monomial ideals and their powers ⋮ Squarefree powers of edge ideals of forests ⋮ The linear syzygy graph of a monomial ideal and linear resolutions ⋮ Edge ideals with almost maximal finite index and their powers ⋮ Matchings and squarefree powers of edge ideals
Cites Work
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- Bounds on the regularity and projective dimension of ideals associated to graphs
- The Betti polynomials of powers of an ideal
- Regularity of edge ideals of \(C_{4}\)-free graphs via the topology of the lcm-lattice
- Koszul homology and syzygies of Veronese subalgebras
- On the projective normality of complete linear series on an algebraic curve
- The lcm-lattice in monomial resolutions
- Dirac's theorem on chordal graphs and Alexander duality
- \(C_{4}\)-free edge ideals
- The regularity of powers of edge ideals
- The depth of powers of an ideal
- Restricting linear syzygies: algebra and geometry
- Regularity of the powers of an ideal
- Monomial ideals whose powers have a linear resolution
- Powers of Ideals: Betti Numbers, Cohomology and Regularity
- Monomial Ideals