Sparse Paving Positroids
arXiv:2511.10812 · doi:10.63151/amjc.v5i.42
Abstract
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.
Includes results from arXiv:2401.02053, specifically regarding sparse paving matroids