Toric rings arising from vertex cover ideals

DOI10.1016/j.aam.2023.102596zbMath1524.13073arXiv2209.10799MaRDI QIDQ6056549

Jürgen Herzog, Takayuki Hibi, Somayeh Moradi

Publication date: 30 October 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10799

zbMATH Keywords

sortabletoric ringsvertex cover ideals\(x\)-condition

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Cites Work

• Unnamed Item
• A short proof that `proper = unit'
• Finite lattices and lexicographic Gröbner bases
• Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs
• On the powers of vertex cover ideals
• Sortable simplicial complexes and \(t\)-independence ideals of proper interval graphs
• The Roberts characterization of proper and unit interval graphs
• Powers of Componentwise Linear Ideals
• Powers of the Vertex Cover Ideal of a Chordal Graph
• Monomial ideals whose powers have a linear resolution
• Componentwise linear powers and the $x$-condition

This page was built for publication: Toric rings arising from vertex cover ideals