1 citations · 1 across the 3 of their papers we have counts for
7 papers
{T}he Gröbner Basis of a Catalan Path Ideal
Nantel Bergeron, Xavier Mootoo, Vedarth Vyas
For the ideal in with char() = 0, we show that the reduced Gröbner basi…
Hopf algebras of parking functions and decorated planar trees
Nantel Bergeron, Rafael S. González D'León, Shu Xiao Li +2
We construct three new combinatorial Hopf algebras based on the Loday-Ronco operations on planar binary trees. The first and second algebras are defined on planar trees and labeled…
Sign variation and descents
Nantel Bergeron, Aram Dermenjian, John Machacek
For any and , let be the poset of projective equivalence classes of -vectors of length with sign variation bounded by , ordered by…
Elliptic and -Analogs of the Fibonomial Numbers
Nantel Bergeron, Cesar Ceballos, Josef Küstner
In 2009, Sagan and Savage introduced a combinatorial model for the Fibonomial numbers, integer numbers that are obtained from the binomial coefficients by replacing each term by it…
New Invariants for Permutations, Orders and Graphs
Jean-christophe Aval, Nantel Bergeron, John Machacek
We study the symmetric function and polynomial combinatorial invariants of Hopf algebras of permutations, posets and graphs. We investigate their properties and the relations among…
Flagged -partitions
Sami Assaf, Nantel Bergeron
We introduce the theory of -partitions, depending on a poset and a map from to positive integers. The generating function $\mathfra…