10 citations · 15 across the 4 of their papers we have counts for
4 papers
Decomposition of Greedy Tamari Intervals and Bipartite Planar Maps
Philippe Biane, Wenjie Fang
The greedy Tamari poset, inspired by the well-studied Tamari lattice, was recently defined by Dermenjian in the more general setting of greedy -Tamari posets. Bousquet-Mélou and…
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…
Doubly-refined enumeration of Alternating Sign Matrices and determinants of 2-staircase Schur functions
Philippe Biane, Luigi Cantini, Andrea Sportiello
We prove a determinantal identity concerning Schur functions for 2-staircase diagrams lambda=(ln+l',ln,l(n-1)+l',l(n-1),...,l+l',l,l',0). When l=1 and l'=0 these functions are rela…
On the formula of Goulden and Rattan for Kerov polynomials
Philippe Biane
We give a simple proof of an explicit formula for Kerov polynomials. This formula is closely related to a formula of Goulden and Rattan.