1.9k citations
- Université Gustave EiffelFR267 papers
- Centre National de la Recherche ScientifiqueFR234 papers
- Université Paris-Est Marne-la-ValléeFR130 papers
- ESIEE ParisFR50 papers
- Paris-Est SupFR50 papers
- École nationale des ponts et chausséesFR46 papers
- Pôle de recherche et d'enseignement supérieur Université Paris-EstFR46 papers
- Institutt for Grafiske MedierNO25 papers
- Université Paris CitéFR23 papers
- Institut national de recherche en sciences et technologies du numériqueFR20 papers
- UniLaSalle Amiens (ESIEE-Amiens)FR20 papers
- Université Paris-SaclayFR20 papers
159 papers · 1 filter
On the area-depth symmetry on Łukasiewicz paths
Wenjie Fang
In an effort to further understanding -Catalan statistics, a new statistic on Dyck paths called was proposed in Pappe, Paul and Schilling (2022) and was shown…
Effective Asymptotics of Combinatorial Systems
Carine Pivoteau, Bruno Salvy
Analytic combinatorics studies asymptotic properties of families of combinatorial objects using complex analysis on their generating functions. In their reference book on the subje…
When Many Trees Go to War: On Sets of Phylogenetic Trees With Almost No Common Structure
Mathias Weller, Norbert Zeh
It is known that any two trees on the same leaves can be displayed by a network with reticulations, and there are two trees that cannot be displayed by a network with few…
Combinatorics of descent algebras and graph coverings
Philippe Biane
We give a direct combinatorial proof that the product of two descent classes in a symmetric group is a sum of descent classes. The proof is based on the fact that the group product…
Bivariate asymptotics via random walks: application to large genus maps
Andrew Elvey Price, Wenjie Fang, Baptiste Louf +1
We obtain bivariate asymptotics for the number of (unicellular) combinatorial maps (a model of discrete surfaces) as both the size and the genus grow. This work is related to two r…
-Super Catalan Numbers: Combinatorial identities, Generating Functions, and Narayana Refinements
Arthur Rodelet--Causse, Lenny Tevlin
We begin by deriving a number of combinatorial identities satisfied by the -super Catalan numbers. In particular, we extend some of the known combinatorial identities (Touchard,…