Graphs and complete intersection toric ideals

DOI10.1142/S0219498815400113zbMath1333.14046arXiv1210.1950OpenAlexW2063948588MaRDI QIDQ2947374

Enrique Reyes, Ignacio García-Marco, Isabel Bermejo

Publication date: 22 September 2015

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

Full work available at URL: https://arxiv.org/abs/1210.1950

zbMATH Keywords

graphcomplete intersectionhomogeneous toric ideal

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of commutative algebra (05E40)

Related Items (9)

Matroid Toric Ideals: Complete Intersection, Minors, and Minimal Systems of Generators ⋮ On complete intersection toric ideals of graphs ⋮ Toric ideals and diagonal \(2\)-minors ⋮ Oriented graphs whose toric ideals are a complete intersection ⋮ CIO and ring graphs: deficiency and testing ⋮ Acyclic digraphs giving rise to complete intersections ⋮ Quadratic-monomial generated domains from mixed signed, directed graphs ⋮ Generalized multiplicities of edge ideals ⋮ On toric ideals arising from signed graphs

Cites Work

• Unnamed Item
• On complete intersection toric ideals of graphs
• Complete intersection toric ideals of oriented graphs and chorded-theta subgraphs
• Complete intersections in simplicial toric varieties
• Binomial generation of the radical of a lattice ideal
• Minimal generators of toric ideals of graphs
• Ring graphs and complete intersection toric ideals
• On regular sequences of binomials
• Toric ideals generalized by quadratic binomials
• Mixed dominating matrices
• The integral closure of subrings associated to graphs
• Complete intersection lattice ideals
• Mixed matrices and binomial ideals
• Bipartite graphs whose edge algebras are complete intersections
• An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection
• Generators and relations of abelian semigroups and semigroup rings
• Multiplicities of edge subrings
• The even-path problem for graphs and digraphs
• Ring graphs and toric ideals
• Algebras arising from bipartite planar graphs
• Affine semigroup rings that are complete intersections
• On the jacobian module associated to a graph
• Rees algebras of edge ideals

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