Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests
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Publication:2045255
DOI10.1007/s40840-020-01052-0OpenAlexW3118549010MaRDI QIDQ2045255
Jiaqi Zhang, Guangjun Zhu, Hong Wang, Li Xu
Publication date: 12 August 2021
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.03019
Homological dimension and commutative rings (13D05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)
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Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests ⋮ Powers of edge ideals of weighted oriented graphs with linear resolutions ⋮ Algebraic properties of edge ideals of some vertex-weighted oriented \(m\)-partite graphs
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Cites Work
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- Depth and regularity of powers of sums of ideals
- Minimum distance functions of graded ideals and Reed-Muller-type codes
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Path ideals of rooted trees and their graded Betti numbers
- Splittable ideals and the resolutions of monomial ideals
- A lower bound for depths of powers of edge ideals
- Regularity of powers of forests and cycles
- Minimal resolutions of some monomial ideals
- Regularity of powers of bipartite graphs
- Powers of sums and their homological invariants
- Cohen-Macaulay graphs
- The regularity of powers of edge ideals
- Regularity of edge ideals and their powers
- Monomial ideals of weighted oriented graphs
- Projective dimension and regularity of edge ideals of some weighted oriented graphs
- On the asymptotic linearity of Castelnuovo-Mumford regularity.
- The depth of powers of an ideal
- Betti Numbers of Path Ideals of Trees
- Regularity of powers of edge Ideal of whiskered cycles
- Splittings of monomial ideals
- Algebraic Properties of the Path Ideal of a Tree
- The asymptotic nature of the analytic spread
- Projective dimension and regularity of path ideals of cycles
- Graded Betti numbers of path ideals of cycles and lines
- Projective dimension and regularity of the path ideal of the line graph
- Asymptotic behaviour of Castelnuovo-Mumford regularity
- EDGE IDEALS OF WEIGHTED GRAPHS
- Monomial Ideals
- Regularity of bicyclic graphs and their powers
- Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs
- Regularity of Squarefree Monomial Ideals
- Depths of Powers of the Edge Ideal of a Tree
- HYPERGRAPHS AND REGULARITY OF SQUARE-FREE MONOMIAL IDEALS
- On the resolution of ideals of fat points
