Free resolutions of some edge ideals of simple graphs

DOI10.1216/JCA-2010-2-1-1zbMath1238.13028MaRDI QIDQ412481

Rachelle R. Bouchat

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1269437253

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Some algebraic Invariants of the residue class rings of the edge ideals of perfect semiregular trees ⋮ Regularity of powers of edge ideals of some graphs ⋮ Matchings, coverings, and Castelnuovo-Mumford regularity ⋮ Subadditivity, strand connectivity and multigraded Betti numbers of monomial ideals ⋮ Barile-Macchia resolutions ⋮ Nonvanishing Betti numbers of edge ideals of weakly chordal graphs ⋮ Path ideals of rooted trees and their graded Betti numbers ⋮ Multigraded Betti numbers of simplicial forests ⋮ Betti numbers of weighted oriented graphs ⋮ Regularity and \(a\)-invariant of Cameron-Walker graphs

Uses Software

• Macaulay2
• SageMath
• Python

Cites Work

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• Minimal resolutions of some monomial ideals
• Betti numbers of monomial ideals and shifted skew shapes
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Resolutions of Facet Ideals
• Splittings of monomial ideals
• On the Linear Strand of an Edge Ideal
• Sequentially Cohen-Macaulay edge ideals
• Rees algebras of edge ideals

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