Edge rings of bipartite graphs with linear resolutions

DOI10.1142/S0219498821501632zbMath1476.05208arXiv1908.05678OpenAlexW3042398392MaRDI QIDQ5157913

Akiyoshi Tsuchiya

Publication date: 20 October 2021

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

Full work available at URL: https://arxiv.org/abs/1908.05678

zbMATH Keywords

regularitylinear resolutionedge ringedge polytoperoot polytope\(h^{\ast}\)-polynomial

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) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

On regularity bounds and linear resolutions of toric algebras of graphs ⋮ Splittings of toric ideals ⋮ Edge rings with \(q\)-linear resolutions

Cites Work

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• Bounds on the regularity of toric ideals of graphs
• A monotonicity property of \(h\)-vectors and \(h^*\)-vectors
• Normal polytopes arising from finite graphs
• Koszul bipartite graphs
• Toric ideals generalized by quadratic binomials
• Green-Lazarsfeld condition for toric edge ideals of bipartite graphs
• Binomial Ideals
• Ehrhart Theory of Spanning Lattice Polytopes
• Algebraic properties of toric rings of graphs
• Edge rings with 3-linear resolutions
• Explicit representations of the edge cone of a graph
• Root polytopes, Tutte polynomials, and a duality theorem for bipartite graphs

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