The h-vector of a Positroid is a pure O-sequence
Combinatorics
2021-12-13 v1
Abstract
A well-known conjecture of Stanley is that the h-vector of any matroid is a pure O-sequence. There have been numerous papers with partial progress on this conjecture, but it is still wide open. Positroids are special class of linear matroids that play a crucial role in the field of total positivity. In this short note, we prove that Stanley's conjecture holds for positroids.
Cite
@article{arxiv.2112.05243,
title = {The h-vector of a Positroid is a pure O-sequence},
author = {Amy He and Pierce Lai and SuHo Oh},
journal= {arXiv preprint arXiv:2112.05243},
year = {2021}
}
Comments
9 pages, 3 figures