Toric ideals of series and parallel connections of matroids

DOI10.1142/S0219498816501061zbMath1335.05033arXiv1312.3428MaRDI QIDQ2803558

Kazuki Shibata

Publication date: 2 May 2016

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

Full work available at URL: https://arxiv.org/abs/1312.3428

zbMATH Keywords

Gröbner basismatroidtoric ideal

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (3)

On the toric ideals of matroids of a fixed rank ⋮ Frame matroids, toric ideals, and a conjecture of White ⋮ Gröbner bases of toric ideals associated with matroids

Cites Work

• Unnamed Item
• Combinatorial pure subrings.
• Compressed polytopes, initial ideals and complete multipartite graphs
• The toric ideal of a matroid of rank 3 is generated by quadrics
• Equations Defining Toric Varieties

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