3 papers
math.CO2025
Complete non-ambiguous trees and associated permutations: new enumerative results
Thomas Selig, Haoyue Zhu
We study a link between complete non-ambiguous trees (CNATs) and permutations exhibited by Daniel Chen and Sebastian Ohlig in recent work. In this, they associate a certain permuta…
math.CO2025
Prime graphical parking functions and strongly recurrent configurations of the Abelian sandpile model
Thomas Selig, Haoyue Zhu
This work investigates the duality between two discrete dynamical processes: parking functions, and the Abelian sandpile model (ASM). Specifically, we are interested in the extensi…
math.CO2024
Parking functions and Åukasiewicz paths
Thomas Selig, Haoyue Zhu
We present a bijection between two well-known objects in the ubiquitous Catalan family: non-decreasing parking functions and Åukasiewicz paths. This bijection maps the maximal dis…