English

Matroids and their Dressians

Combinatorics 2020-08-05 v2

Abstract

We study Dressians of matroids using the initial matroids of Dress and Wenzel. These correspond to cells in regular matroid subdivisions of matroid polytopes. An efficient algorithm for computing Dressians is presented, and its implementation is applied to a range of interesting matroids. We give counterexamples to a few plausible statements about matroid subdivisions.

Keywords

Cite

@article{arxiv.1902.05592,
  title  = {Matroids and their Dressians},
  author = {Madeline Brandt and David E Speyer},
  journal= {arXiv preprint arXiv:1902.05592},
  year   = {2020}
}

Comments

20 pages, 9 figures; V2: corrected errors in V1 including V1, Theorem B. See V2, Section 5

R2 v1 2026-06-23T07:41:31.202Z