A regular unimodular triangulation of the matroid base polytope

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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Publication Details

Journal
Duke Mathematical Journal
Published
2025-09-26
DOI
https://doi.org/10.1215/00127094-2025-0015
Citations
2
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
10.66
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article

A regular unimodular triangulation of the matroid base polytope

Gaku Liu, Spencer Backman
2 citations
Duke Mathematical Journal
Advanced Combinatorial Mathematics
10.66
article

A regular unimodular triangulation of the matroid base polytope

Gaku Liu, Spencer Backman
article en
2 citations

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.

Duke Mathematical JournalVol. 174(14)
University of Vermont (US), University of Washington (US)
Openalex Percentile: Top 2%
Advanced Combinatorial Mathematics
10.66
DOISourceOpenAlex
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