Unimodular hierarchical models and their Graver bases
AbstractGiven 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.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon submission, authors agree with the following Article Submission Agreement. Once the papers are published, authors are required to use the DOI link provided on all websites and arXiv postings of their paper.
As this is an open access journal, all articles have a creative commons license.