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arXiv · 1704.09018

Unimodular hierarchical models and their Graver bases

Daniel Irving Bernstein·Christopher O'Neill
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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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Daniel Irving Bernstein, Christopher O'Neill. 2017-09-22. Unimodular hierarchical models and their Graver bases. https://doi.org/10.18409/jas.v8i2.66

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