3 papers
math.AC2021
Toric Ideals of Weighted Oriented Graphs
Jennifer Biermann, Selvi Kara, Kuei-Nuan Lin +1
Given a vertex-weighted oriented graph, we can associate to it a set of monomials. We consider the toric ideal whose defining map is given by these monomials. We find a generating…
math.AC2019
Betti numbers of symmetric shifted ideals
Jennifer Biermann, Hernán De Alba, Federico Galetto +5
We introduce a new class of monomial ideals which we call symmetric shifted ideals. Symmetric shifted ideals are fixed by the natural action of the symmetric group and, within the…
math.AC2016
Bounds on the regularity of toric ideals of graphs
Jennifer Biermann, Augustine O'Keefe, Adam Van Tuyl
Let be a finite simple graph. We give a lower bound for the Castelnuovo-Mumford regularity of the toric ideal associated to in terms of the sizes and number of induce…