Regularity and \(h\)-polynomials of binomial edge ideals

DOI10.1007/s40306-021-00416-3zbMath1486.05326arXiv1808.06984OpenAlexW3134548348MaRDI QIDQ2126130

Takayuki Hibi, Kazunori Matsuda

Publication date: 14 April 2022

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06984

zbMATH Keywords

\(h\)-polynomialCastelnuovo-Mumford regularitybinomial edge ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)

Related Items (3)

Binomial edge ideals of cographs ⋮ The regularity and h-polynomial of Cameron-Walker graphs ⋮ Comparing invariants of toric ideals of bipartite graphs

Cites Work

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• Lexsegment ideals and their \(h\)-polynomials
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• Algebraic properties of the binomial edge ideal of complete bipartite graph
• Graphs and Ideals Generated by Some 2-Minors
• Regularity and h‐polynomials of monomial ideals
• Hilbert series of binomial edge ideals
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

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