Krull dimension and regularity of binomial edge ideals of block graphs

DOI10.1142/S0219498820501339zbMath1444.13029arXiv1803.01239OpenAlexW2963870921WikidataQ114614623 ScholiaQ114614623MaRDI QIDQ3303798

Carla Mascia, Giancarlo Rinaldo

Publication date: 4 August 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01239

zbMATH Keywords

Castelnuovo-Mumford regularityKrull dimensionblock graphsbinomial edge ideal

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Computational aspects and applications of commutative rings (13P99) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (7)

Local cohomology of binomial edge ideals and their generic initial ideals ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ Binomial edge ideals of generalized block graphs ⋮ Binomial edge ideals and bounds for their regularity ⋮ An upper bound for the regularity of binomial edge ideals of trees ⋮ Regularity of parity binomial edge ideals ⋮ Binomial edge ideals of unicyclic graphs

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Unnamed Item
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• The Castelnuovo-Mumford regularity of binomial edge ideals
• Binomial edge ideals and conditional independence statements
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• Binomial edge ideals of regularity 3
• On the binomial edge ideal of a pair of graphs
• Regularity of binomial edge ideals of certain block graphs
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• Monomial Ideals
• On the regularity of binomial edge ideals
• An upper bound for the regularity of binomial edge ideals of trees
• Cohen–Macaulay binomial edge ideals of cactus graphs
• Construction of Cohen–Macaulay Binomial Edge Ideals
• Cohen-Macaulay binomial edge ideals of small deviation

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