Closed binomial edge ideals

DOI10.1515/crelle-2023-0048OpenAlexW4386328596MaRDI QIDQ6060795

Irena Peeva

Publication date: 6 November 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2023-0048

zbMATH Keywords

Betti numberslex initial ideal

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• Regularity bounds for binomial edge ideals
• Binomial edge ideals with pure resolutions
• Castelnuovo Mumford regularity with respect to multigraded ideals
• Graded syzygies
• Binomial edge ideals with quadratic Gröbner bases
• Square-free Gröbner degenerations
• The Castelnuovo-Mumford regularity of binomial edge ideals
• Binomial edge ideals and conditional independence statements
• The lcm-lattice in monomial resolutions
• Free resolutions and sparse determinantal ideals
• A proof for a conjecture on the regularity of binomial edge ideals
• The linear strand of determinantal facet ideals
• On vanishing patterns in \(j\)-strands of edge ideals
• Closed graphs are proper interval graphs
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• Binomial Ideals
• On the regularity of binomial edge ideals