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Descents in parking functions

J. Integer Seq., 2018
Summary: Parking functions are a superset of permutations. In this article, we count the number of parking functions of length \(n\) with a fixed number of ties, as well as the number of descents in those parking functions. The steps to achieve this result also reveal many things about their internal structure.
openaire   +2 more sources

Toric braids and (m,n)-parking functions

Duke Mathematical Journal, 2021
Anton Mellit
exaly  

A symmetry on parking functions via Dyck paths

Discrete Mathematics, 2023
Zhicong Lin
exaly  

Projective embeddings of M‾0,n and parking functions

Journal of Combinatorial Theory - Series A, 2021
Maria Gillespie
exaly  

Rational Parking Functions and Catalan Numbers

Annals of Combinatorics, 2015
Drew Armstrong   +2 more
exaly  

Gonc̆arov polynomials and parking functions

Journal of Combinatorial Theory - Series A, 2003
Joseph P S Kung, Catherine Yan
exaly  

Families of Parking Functions Counted by the Schröder and Baxter Numbers

Developments in Mathematics, 2019
Robert Cori   +2 more
exaly  

Mappings of acyclic and parking functions

Aequationes Mathematicae, 1974
John Riordan
exaly  

Transitive cycle factorizations and prime parking functions

Journal of Combinatorial Theory - Series A, 2003
Seunghyun Seo
exaly  

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