2 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
Abelian and stochastic sandpile models on complete bipartite graphs
Thomas Selig, Haoyue Zhu
In the sandpile model, vertices of a graph are allocated grains of sand. At each unit of time, a grain is added to a randomly chosen vertex. If that causes its number of grains to…
Parking functions and Łukasiewicz paths
Thomas Selig, Haoyue Zhu
We present a bijection between two well-known objects in the ubiquitous Catalan family: non-decreasing parking functions and Łukasiewicz paths. This bijection maps the maximal disp…
On friendship and cyclic parking functions
Yujia Kang, Thomas Selig, Guanyi Yang +2
In parking problems, a given number of cars enter a one-way street sequentially, and try to park according to a specified preferred spot in the street. Various models are possible…
New combinatorial perspectives on MVP parking functions and their outcome map
Thomas Selig, Haoyue Zhu
In parking problems, a given number of cars enter a one-way street sequentially, and try to park according to a specified preferred spot in the street. Various models are possible…
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…