Depth of edge rings arising from finite graphs

DOI10.1090/S0002-9939-2011-11083-9zbMath1230.13024arXiv1009.1472OpenAlexW2963513382MaRDI QIDQ3103255

Takayuki Hibi, Kyouko Kimura, Akihiro Higashitani, Augustine B. O'Keefe

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1472

zbMATH Keywords

Groebner basisinitial idealtoric idealedge ringfinite graph

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (10)

Comparing invariants of toric ideals of bipartite graphs ⋮ Regularity and ℎ-polynomials of toric ideals of graphs ⋮ Algebraic properties of toric rings of graphs ⋮ Non-normal affine monoid algebras ⋮ Splittings of toric ideals ⋮ Depth of Initial Ideals of Normal Edge Rings ⋮ Edge rings satisfying Serre’s condition $(R_{1})$ ⋮ Betti numbers of toric ideals of graphs: A case study ⋮ Betti numbers of toric algebras of certain bipartite graphs ⋮ Properties of the toric rings of a chordal bipartite family of graphs

Cites Work

• Combinatoric of syzygies for semigroup algebras
• Normal polytopes arising from finite graphs
• Toric ideals generalized by quadratic binomials

This page was built for publication: Depth of edge rings arising from finite graphs