Unimodular hierarchical models and their Graver bases
arXiv:1704.09018 · doi:10.18409/jas.v8i2.66
Abstract
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.
Minor changes from previous version. This version to appear in Journal of Algebraic Statistics