Sparse Paving Positroids

Fuente: arXiv
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Autores principales: Machacek, John, Nasr, George D.
Formato: Preprint
Publicado: 2025
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author Machacek, John
Nasr, George D.
author_facet Machacek, John
Nasr, George D.
contents Using Postnikov's Le-diagrams, decorated permutations, and Grassmann necklaces, we classify which positroids are sparse paving matroids. This allows us to enumerate sparse paving positroids, making connections to a known sequence involving the golden ratio and to the Lucas numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10812
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sparse Paving Positroids
Machacek, John
Nasr, George D.
Combinatorics
05B35
Using Postnikov's Le-diagrams, decorated permutations, and Grassmann necklaces, we classify which positroids are sparse paving matroids. This allows us to enumerate sparse paving positroids, making connections to a known sequence involving the golden ratio and to the Lucas numbers.
title Sparse Paving Positroids
topic Combinatorics
05B35
url https://arxiv.org/abs/2511.10812