Improved bounds for the regularity of edge ideals of graphs
From MaRDI portal
Publication:1752915
DOI10.1007/s13348-017-0204-8zbMath1391.13024OpenAlexW2754061169MaRDI QIDQ1752915
Siamak Yassemi, Seyed Amin Seyed Fakhari
Publication date: 24 May 2018
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13348-017-0204-8
Algebraic combinatorics (05E99) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items
Survey on Regularity of Symbolic Powers of an Edge Ideal ⋮ Castelnuovo–Mumford regularity of monomial ideals arising from posets ⋮ Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal ⋮ On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals ⋮ Joins, ears and Castelnuovo-Mumford regularity ⋮ Improved bounds for the regularity of powers of edge ideals of graphs ⋮ Regularity of symbolic powers of edge ideals of Cameron-Walker graphs ⋮ An upper bound for the regularity of powers of edge ideals ⋮ An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs ⋮ Fiber invariants of projective morphisms and regularity of powers of ideals ⋮ Maximal independent sets and regularity of graphs ⋮ Unnamed Item ⋮ A hypergraph characterization of nearly complete intersections ⋮ Regularity of symbolic powers of edge ideals of unicyclic graphs ⋮ Homological invariants of Cameron–Walker Graphs ⋮ Regularity of symbolic powers of edge ideals of chordal graphs ⋮ Upper bounds for the regularity of gap-free graphs in terms of minimal triangulation
Cites Work
- Unnamed Item
- Unnamed Item
- A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Balanced vertex decomposable simplicial complexes and their \(h\)-vectors
- Results on the regularity of square-free monomial ideals
- Vertex-decomposable graphs, codismantlability, Cohen-Macaulayness, and Castelnuovo-Mumford regularity
- Matchings, coverings, and Castelnuovo-Mumford regularity
- Graded syzygies
- Vertex decomposability and regularity of very well-covered graphs
- Intersections of Leray complexes and regularity of monomial ideals
- Regularity, depth and arithmetic rank of bipartite edge ideals
- Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
- A note on the Stanley-Reisner ring of a join and of a suspension
- Characteristic-independence of Betti numbers of graph ideals
- Some combinatorial properties of flag simplicial pseudomanifolds and spheres
- Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
- A Generalization of the Taylor Complex Construction
- Cohen–Macaulay graphs with large girth
- Regularity of Squarefree Monomial Ideals
- Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs
- Dominating induced matchings of finite graphs and regularity of edge ideals