English

Transversal and Paving Positroids

Combinatorics 2024-07-29 v2

Abstract

In this paper, we study positroids and its overlap with two classes of matroids: transversal and paving matroids. We exhibit a new class of fundamental transversal matroids and classify the Le-diagram for rank two transversal positroids. We also establish a combinatorial description for paving positroids in terms of Le-diagrams.

Keywords

Cite

@article{arxiv.2401.02053,
  title  = {Transversal and Paving Positroids},
  author = {John Machacek and George D. Nasr},
  journal= {arXiv preprint arXiv:2401.02053},
  year   = {2024}
}
R2 v1 2026-06-28T14:08:20.879Z