On the Betti numbers of edge ideals of skew Ferrers graphs

DOI10.1142/S021819671950067XzbMath1460.13035arXiv1806.02327OpenAlexW2973502283WikidataQ114614819 ScholiaQ114614819MaRDI QIDQ5216192

Do Trong Hoang

Publication date: 17 February 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02327

zbMATH Keywords

Betti numbersbinomial edge idealsclosed graphsskew Ferrers graphs

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Other special types of modules and ideals in commutative rings (13C13) Torsion modules and ideals in commutative rings (13C12)

Cites Work

• Unnamed Item
• Bounds on the regularity and projective dimension of ideals associated to graphs
• Koszul homology and syzygies of Veronese subalgebras
• Square-free Gröbner degenerations
• Binomial edge ideals and conditional independence statements
• Betti numbers of monomial ideals and shifted skew shapes
• Combinatorial decompositions of a class of rings
• On the extremal Betti numbers of binomial edge ideals of block graphs
• Binomial edge ideals of regularity 3
• Combinatorics and commutative algebra.
• Characteristic-independence of Betti numbers of graph ideals
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• Monomial and toric ideals associated to Ferrers graphs
• On the extremal Betti numbers of the binomial edge ideal of closed graphs
• Monomial Ideals
• On the regularity of binomial edge ideals