Properties of the toric rings of a chordal bipartite family of graphs

DOI10.1007/978-3-030-91986-3_2zbMath1502.13053arXiv2102.08528OpenAlexW3133335913MaRDI QIDQ2080054

Laura E. Ballard

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/2102.08528

zbMATH Keywords

graphmultiplicityCastelnuovo-Mumford regularityKoszul algebratoric ringchordal bipartite

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Uses Software

• Macaulay2

Cites Work

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• Strongly Koszul edge rings
• Bounds on the regularity of toric ideals of graphs
• On the universal Gröbner bases of toric ideals of graphs
• Graded syzygies
• Square-free Gröbner degenerations
• Toric ideals generalized by quadratic binomials
• On the ideal theory of graphs
• Edge rings with \(q\)-linear resolutions
• Green-Lazarsfeld condition for toric edge ideals of bipartite graphs
• Matching numbers and the regularity of the Rees algebra of an edge ideal
• Toric ideals associated with gap-free graphs
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Multiplicities of edge subrings
• Depth of edge rings arising from finite graphs
• Monomial and toric ideals associated to Ferrers graphs
• Binomial Ideals
• Algebraic properties of toric rings of graphs
• Rees algebras of edge ideals
• Regularity and ℎ-polynomials of toric ideals of graphs
• Betti numbers of toric ideals of graphs: A case study
• Betti numbers of toric algebras of certain bipartite graphs
• Edge rings with 3-linear resolutions
• Edge rings satisfying Serre’s condition $(R_{1})$

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