On the extremal Betti numbers of the binomial edge ideal of closed graphs

DOI10.1002/mana.201700292zbMath1388.13030arXiv1708.00844OpenAlexW2963038057MaRDI QIDQ4603117

Do Trong Hoang, Hernán de Alba

Publication date: 19 February 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00844

zbMATH Keywords

projective dimensionBetti numbersbinomial edge idealsclosed graphs

Mathematics Subject Classification ID

Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

Related Items (8)

Local cohomology of binomial edge ideals and their generic initial ideals ⋮ Diameter and connectivity of finite simple graphs ⋮ Gorenstein binomial edge ideals ⋮ Induced matchings in strongly biconvex graphs and some algebraic applications ⋮ Binomial edge ideals and bounds for their regularity ⋮ On the Betti numbers of edge ideals of skew Ferrers graphs ⋮ Local dissymmetry on graphs and related algebraic structures ⋮ Binomial edge ideals of unicyclic graphs

Cites Work

• Bounds on the regularity and projective dimension of ideals associated to graphs
• Binomial edge ideals and conditional independence statements
• Betti numbers of monomial ideals and shifted skew shapes
• Combinatorial decompositions of a class of rings
• Regularity 3 in edge ideals associated to bipartite graphs
• On Closed Graphs I
• Algebraic properties of the binomial edge ideal of complete bipartite graph
• Extremal Betti numbers of some classes of binomial edge ideals
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• On the binomial edge ideals of block graphs
• Monomial Ideals
• On the regularity of binomial edge ideals
• Graph connectivity and binomial edge ideals

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