Unimodular hierarchical models and their Graver bases hierarchical model Graver basis simplicial complex 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. Bernstein, Daniel Irving O'Neill, Christopher 2017 2017-12-26 Article application/pdf islandora:1007800 http://hdl.handle.net/10560/islandora:1007800 MATH / Applied Mathematics Illinois Institute of Technology Journal of Algebraic Statistics en Open Access