Canonical modules of certain edge subrings

DOI10.1016/S0195-6698(03)00058-1zbMath1027.05063OpenAlexW2051004241MaRDI QIDQ1399683

Carlos E. Valencia, Rafael H. Villarreal

Publication date: 30 July 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(03)00058-1

zbMATH Keywords

graphincidence matrixcanonical module

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (8)

On regularity bounds and linear resolutions of toric algebras of graphs ⋮ Algebraic properties of the coordinate ring of a convex polyomino ⋮ Comparing invariants of toric ideals of bipartite graphs ⋮ Regularity and algebraic properties of certain lattice ideals ⋮ Monomial and toric ideals associated to Ferrers graphs ⋮ Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems ⋮ Rees algebras of square-free Veronese ideals and their a-invariants ⋮ Normality of semigroups with some links to graph theory.

Uses Software

• CoCoA
• Macaulay2
• Normaliz
• PORTA

Cites Work

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• On the equations of the edge cone of a graph and some applications
• On the ideal theory of graphs
• THE GEOMETRY OF TORIC VARIETIES
• A Minimax Theorem for Directed Graphs
• Lectures on Polytopes
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Combinatorial optimization. Theory and algorithms

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