2 papers
math.CO2026
A Loehr-Remmel bijection in the grid and sandpiles
Michele D'Adderio, Alessio Sgubin
We extend the statistic of Loehr and Remmel to labelled Dyck paths in the grid, and generalize their bijection sending the bistatistic $(\mathsf{dinv}…
math.CO2026
On a bijection of Loehr and Remmel
Michele D'Adderio, Alessio Sgubin
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…