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math.AC2019★ 9 cited
Splittings of Toric Ideals
Giuseppe Favacchio, Johannes Hofscheier, Graham Keiper +1
Let be a toric ideal, i.e., a binomial prime ideal. We investigate when the ideal can be "split" into the sum of two smaller toric…
math.AC2018★ 12 cited
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…