Unimodular hierarchical models and their Graver bases

Daniel Irving Bernstein, Christopher ONeill

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.


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DOI: http://dx.doi.org/10.18409/jas.v8i2.66

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