1 citations · 1 across the 3 of their papers we have counts for
4 papers
Product-Coproduct Prographs and Triangulations of the Sphere
Nicolas Borie, Justine Falque
In this paper, we explain how the classical Catalan families of objects involving paths, tableaux, triangulations, parentheses configurations and more generalize canonically to a t…
Pinnacle sets revisited
Justine Falque, Jean-Christophe Novelli, Jean-Yves Thibon
In 2017, Davis, Nelson, Petersen, and Tenner [Discrete Math. 341 (2018),3249--3270] initiated the combinatorics of pinnacles in permutations. We provide a simple and efficient recu…
A Bijection Between Weighted Dyck Paths and 1234-avoiding Up-Down Permutations
Justine Falque
Three-dimensional Catalan numbers are a variant of the classical (bidimensional) Catalan numbers, that count, among other interesting objects, the standard Young tableaux of shape…
The orbit algebra of a permutation group with polynomial profile is Cohen-Macaulay
Justine Falque, Nicolas M. Thiéry
Let be a group of permutations of a denumerable set . The profile of is the function which counts, for each , the (possibly infinite) number of orbits…