3 papers
math.AC2021
On the Waldschmidt constant of square-free principal Borel ideals
Eduardo Camps Moreno, Craig Kohne, Eliseo Sarmiento +1
Fix a square-free monomial . The square-free principal Borel ideal generated by , denoted , is the ideal generated by all…
math.AC2020
Powers of Principal -Borel ideals
Eduardo Camps Moreno, Craig Kohne, Eliseo Sarmiento +1
Fix a poset on . A -Borel monomial ideal is a monomial ideal whose monomials are closed under the Borel-like mov…
math.AC2018
Betti numbers of toric ideals of graphs: A case study
Federico Galetto, Johannes Hofscheier, Graham Keiper +3
We compute the graded Betti numbers for the toric ideal of a family of graphs constructed by adjoining a cycle to a complete bipartite graph. The key observation is that this famil…