15 citations · 41 across the 17 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.CO2013
Two bijections on Tamari intervals
Frédéric Chapoton, Grégory Chatel, Viviane Pons
We use a recently introduced combinatorial object, the interval-poset, to describe two bijections on intervals of the Tamari lattice. Both bijections give a combinatorial proof of…
math.CO2013★ 3 cited
Counting smaller elements in the Tamari and m-Tamari lattices
Viviane Pons, Grégory Chatel
We introduce new combinatorial objects, the interval- posets, that encode intervals of the Tamari lattice. We then find a combinatorial interpretation of the bilinear operator that…
math.CO2013★ 2 cited
Combinatoire algébrique liée aux ordres sur les permutations
Viviane Pons
This thesis comes within the scope of algebraic combinatorics and studies problems related to three orders on permutations: the two said weak orders (right and left) and the strong…