A characterization of graphs whose small powers of their edge ideals have a linear free resolution

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals
Linear syzygies, flag complexes, and regularity
Bounds on the regularity and projective dimension of ideals associated to graphs
Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
Regularity of powers of forests and cycles
Hyperbolic Coxeter groups of large dimension.
Regularity of powers of bipartite graphs
Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs
Dirac's theorem on chordal graphs and Alexander duality
Combinatorics and commutative algebra.
\(C_{4}\)-free edge ideals
Regularity and Koszul property of symbolic powers of monomial ideals
Matchings and squarefree powers of edge ideals
Integral closure of powers of edge ideals and their regularity
The regularity of powers of edge ideals
Regularity of symbolic powers of edge ideals
Regularity of powers of edge ideals of unicyclic graphs
Homological invariants of powers of fiber products
Regularity of symbolic powers of edge ideals of unicyclic graphs
Powers of edge ideals of regularity three bipartite graphs
Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal
Stellar theory for flag complexes
Asymptotic behaviour of Castelnuovo-Mumford regularity
Survey on Regularity of Symbolic Powers of an Edge Ideal
Regularity of symbolic powers of edge ideals of Cameron-Walker graphs
Regularity of symbolic powers of square-free monomial ideals
Regularity of powers of Stanley–Reisner ideals of one‐dimensional simplicial complexes
On the regularity of small symbolic powers of edge ideals of graphs

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