On a bijection of Loehr and Remmel
Combinatorics
2026-07-27 v1
Abstract
In this expository article we review a remarkable bijection due to Loehr and Remmel from the set of parking functions of size n into itself, which sends the bistatistic (dinv, area) into the bistatistic (area, pmaj). The only novelty of the present work is our definition of , which is more direct than the original one, hence easier to compute and to work with.
Keywords
Cite
@article{arxiv.2607.24677,
title = {On a bijection of Loehr and Remmel},
author = {Michele D'Adderio and Alessio Sgubin},
journal= {arXiv preprint arXiv:2607.24677},
year = {2026}
}
Comments
14 pages, 11 figures, expository article