Unimodular hierarchical models and their Graver bases

  • Daniel Irving Bernstein North Carolina State University
  • Christopher ONeill University of California Davis

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.

Published
2017-12-26
Section
Articles