3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CO2023
The number of Prime Parking Functions
Rui Duarte, António Guedes de Oliveira
A parking function of length is prime if we obtain a parking function of length by deleting one 1 from it. In this note we give a new direct proof that the number of prim…
math.CO2016
The number of parking functions with center of a given length
Rui Duarte, António Guedes de Oliveira
Let and suppose that, when the Depth-first Search Algorithm is applied to a given rooted labelled tree on vertices, exactly vertices are visited before ba…
math.CO2015★ 3 cited
Note on the bijectivity of the Pak-Stanley labelling
Rui Duarte, António Guedes de Oliveira
This article has the sole purpose of presenting a simple, self-contained and direct proof of the fact that the Pak-Stanley labeling is a bijection. The construction behind the proo…