4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2022
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…
math.CO2012★ 4 cited
Generating tuples of integers modulo the action of a permutation group and applications
Nicolas Borie
Originally motivated by algebraic invariant theory, we present an algorithm to enumerate integer vectors modulo the action of a permutation group. This problem generalizes the gene…
math.CO2010
Deformed diagonal harmonic polynomials for complex reflection groups
François Bergeron, Nicolas Borie, Nicolas M. Thiéry
We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W=G(m,p,n), and give supporting evidence that th…