On the extremal Betti numbers of binomial edge ideals of block graphs

zbMath1395.13010arXiv1802.06020MaRDI QIDQ1753032

Jürgen Herzog, Giancarlo Rinaldo

Publication date: 25 May 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06020

zbMATH Keywords

regularityblock graphsextremal Betti numbersbinomial edge ideals

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Other special types of modules and ideals in commutative rings (13C13) Combinatorial aspects of commutative algebra (05E40)

Related Items (18)

Rees algebra and special fiber ring of binomial edge ideals of closed graphs ⋮ Sequentially Cohen-Macaulay binomial edge ideals of closed graphs ⋮ Local cohomology of binomial edge ideals and their generic initial ideals ⋮ Induced matchings in strongly biconvex graphs and some algebraic applications ⋮ Regularity of binomial edge ideals of certain block graphs ⋮ Level and pseudo-Gorenstein binomial edge ideals ⋮ Frobenius methods in combinatorics ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ Binomial edge ideals of generalized block graphs ⋮ Krull dimension and regularity of binomial edge ideals of block graphs ⋮ Regularity bound of generalized binomial edge ideal of graphs ⋮ Binomial edge ideals and bounds for their regularity ⋮ On the Betti numbers of edge ideals of skew Ferrers graphs ⋮ Hilbert series of binomial edge ideals ⋮ An upper bound for the regularity of binomial edge ideals of trees ⋮ Licci binomial edge ideals ⋮ Square-free Gröbner degenerations ⋮ Binomial edge ideals of unicyclic graphs

Uses Software

• CoCoA

Cites Work

• Unnamed Item
• Regularity bounds for binomial edge ideals
• On the Betti numbers of some classes of binomial edge ideals
• Binomial edge ideals of graphs
• Binomial edge ideals with quadratic Gröbner bases
• The Castelnuovo-Mumford regularity of binomial edge ideals
• Binomial edge ideals and conditional independence statements
• Binomial edge ideals of regularity 3
• The universal Gröbner basis of a binomial edge ideal
• Regularity of binomial edge ideals of certain block graphs
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• Ideals defined by matrices and a certain complex associated with them
• On the binomial edge ideals of block graphs
• On the regularity of binomial edge ideals
• Construction of Cohen–Macaulay Binomial Edge Ideals

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