Regularity of powers of edge ideals: from local properties to global bounds

DOI10.5802/alco.119zbMath1457.13029arXiv1805.01434OpenAlexW3081428700MaRDI QIDQ2200860

Selvi Kara Beyarslan, Arindam Banerjee, Huy Tái Hà

Publication date: 23 September 2020

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01434

zbMATH Keywords

Castelnuovo-Mumford regularitypowers of idealsedge ideals

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15) Combinatorial aspects of commutative algebra (05E40) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items

Survey on Regularity of Symbolic Powers of an Edge Ideal ⋮ Regularity of powers of cover ideals of bipartite graphs ⋮ On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals ⋮ Regularity of edge ideals via suspension ⋮ Improved bounds for the regularity of powers of edge ideals of graphs ⋮ Fiber invariants of projective morphisms and regularity of powers of ideals ⋮ Upper bounds for the regularity of powers of edge ideals of graphs ⋮ Squarefree powers of edge ideals of forests ⋮ Geometric regularity of powers of two-dimensional squarefree monomial ideals ⋮ Matchings and squarefree powers of edge ideals ⋮ Upper bounds for the regularity of gap-free graphs in terms of minimal triangulation

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