An algorithm to construct the Le diagram associated to a Grassmann necklace
Combinatorics
2018-03-06 v1
Abstract
Le diagrams and Grassmann necklaces both index the collection of positroids in the nonnegative Grassmannian , but they excel at very different tasks: for example, the dimension of a positroid is easily extracted from its Le diagram, while the list of bases of a positroid is far more easily obtained from its Grassmann necklace. Explicit bijections between the two are therefore desirable. An algorithm for turning a Le diagram into a Grassmann necklace already exists; in this note we give the reverse algorithm.
Cite
@article{arxiv.1803.01726,
title = {An algorithm to construct the Le diagram associated to a Grassmann necklace},
author = {Susama Agarwala and Sian Fryer},
journal= {arXiv preprint arXiv:1803.01726},
year = {2018}
}
Comments
6 pages