On regularity bounds and linear resolutions of toric algebras of graphs

DOI10.1216/jca.2022.14.285zbMath1494.05120OpenAlexW4285503292MaRDI QIDQ2161179

Ramakrishna Nanduri, Rimpa Nandi

Publication date: 4 August 2022

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://www.projecteuclid.org/journals/journal-of-commutative-algebra/volume-14/issue-2/On-regularity-bounds-and-linear-resolutions-of-toric-algebras-of/10.1216/jca.2022.14.285.full

zbMATH Keywords

regularityRees algebraCastelnuovo-Mumford regularitychordal graphresolutiongap-free graphstoric algebra

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Connectivity (05C40) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• CoCoA

Cites Work

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• Two characterisations of minimal triangulations of \(2K_{2}\)-free graphs
• On the equations of the edge cone of a graph and some applications
• Toric ideals generalized by quadratic binomials
• Canonical modules of certain edge subrings
• Matching numbers and the regularity of the Rees algebra of an edge ideal
• Toric ideals associated with gap-free graphs
• A note on the Rees algebra of a bipartite graph
• Rees algebras of edge ideals
• Edge rings of bipartite graphs with linear resolutions
• Monomial Algebras
• Regularity and Gröbner bases of the Rees algebra of edge ideals of bipartite graphs
• Edge rings with 3-linear resolutions
• Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones

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