Unimodular hierarchical models and their Graver bases

@article{Bernstein2017UnimodularHM,
title={Unimodular hierarchical models and their Graver bases},
author={D. Bernstein and C. O'Neill},
journal={arXiv: Combinatorics},
year={2017}
}

Given a simplicial complex whose vertices are labeled with positive integers, one can associate a vector configuration whose corresponding toric variety is the Zariski closure of a hierarchical model. We classify all the vertex-weighted simplicial complexes that give rise to unimodular vector configurations. We also provide a combinatorial characterization of their Graver bases.