On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals
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Publication:6057734
DOI10.1016/j.jpaa.2023.107488arXiv2207.08559MaRDI QIDQ6057734
Publication date: 26 October 2023
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.08559
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)
Cites Work
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Matchings, coverings, and Castelnuovo-Mumford regularity
- Algebraic study on Cameron-Walker graphs
- Graded syzygies
- Intersections of Leray complexes and regularity of monomial ideals
- Regularity of powers of forests and cycles
- Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
- Regularity of powers of bipartite graphs
- Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs
- Improved bounds for the regularity of edge ideals of graphs
- Very well covered graphs
- Upper bounds for the regularity of powers of edge ideals of graphs
- Squarefree powers of edge ideals of forests
- Matchings and squarefree powers of edge ideals
- Regularity of powers of edge ideals: from local properties to global bounds
- The regularity of powers of edge ideals
- Characteristic-independence of Betti numbers of graph ideals
- Powers of edge ideals of regularity three bipartite graphs
- Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
- The graphs with maximum induced matching and maximum matching the same size
- Regularity of powers of edge Ideal of whiskered cycles
- An upper bound for the regularity of powers of edge ideals
- A Generalization of the Taylor Complex Construction
- Regularity of Squarefree Monomial Ideals
- On the index of powers of edge ideals
- Improved bounds for the regularity of powers of edge ideals of graphs
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