Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs

DOI10.1080/00927872.2019.1596278zbMath1428.13033arXiv1806.02109OpenAlexW2963732232WikidataQ127995631 ScholiaQ127995631MaRDI QIDQ5231263

Arvind Kumar, A. V. Jayanthan

Publication date: 26 August 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02109

zbMATH Keywords

Castelnuovo-Mumford regularitybinomial edge idealsCohen-Macaulay bipartite graph

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (18)

Rees algebra and special fiber ring of binomial edge ideals of closed graphs ⋮ Cohen-Macaulay binomial edge ideals and accessible graphs ⋮ Local cohomology of binomial edge ideals and their generic initial ideals ⋮ Level and pseudo-Gorenstein binomial edge ideals ⋮ Regularity of powers of (parity) binomial edge ideals ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ \((S_2)\)-condition and Cohen-Macaulay binomial edge ideals ⋮ Binomial edge ideals of generalized block graphs ⋮ Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs ⋮ A proof for a conjecture on the regularity of binomial edge ideals ⋮ Almost complete intersection binomial edge ideals and their Rees algebras ⋮ Regularity bound of generalized binomial edge ideal of graphs ⋮ Binomial edge ideals and bounds for their regularity ⋮ Regularity of binomial edge ideals of chordal graphs ⋮ Hilbert series of binomial edge ideals ⋮ Regularity of parity binomial edge ideals ⋮ Regularity of symbolic powers of edge ideals of unicyclic graphs ⋮ Binomial edge ideals of unicyclic graphs

Cites Work

• Regularity bounds for binomial edge ideals
• Binomial edge ideals of graphs
• The Castelnuovo-Mumford regularity of binomial edge ideals
• Binomial edge ideals and conditional independence statements
• Binomial edge ideals of bipartite graphs
• 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
• Construction of Cohen–Macaulay Binomial Edge Ideals

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