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September 26, 2025Duke Mathematical Journal2 citations

A regular unimodular triangulation of the matroid base polytope

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SBSpencer BackmanGLGaku Liu

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Abstract

We produce the first regular unimodular triangulation of an arbitrary matroid base polytope. We then extend our triangulation to integral generalized permutahedra. Prior to this work it was unknown whether each matroid base polytope admitted a unimodular cover.

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Backman et al. (2025) studied this question.

synapsesocial.com/papers/6a1f412e81d56f934c2a9cc7https://doi.org/10.1215/00127094-2025-0015
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