• DOI:10.18409/jas.v8i2.66
Corpus ID: 119322836

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}
}

• D. Bernstein, C. O'Neill
• Published 2017
• Mathematics
• arXiv: Combinatorics

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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.