52 citations · 67 across the 3 of their papers we have counts for
5 papers
The weak order on integer posets
Grégory Chatel, Vincent Pilaud, Viviane Pons
We explore lattice structures on integer binary relations (i.e. binary relations on the set for a fixed integer ) and on integer posets (i.e. partial orders…
Cambrian Hopf Algebras
Grégory Chatel, Vincent Pilaud
Cambrian trees are oriented and labeled trees which fulfill local conditions around each node generalizing the conditions for classical binary search trees. Based on the bijective…
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…
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…
Counting smaller trees in the Tamari order
Viviane Pons, Gregory Chatel
We introduce new objects, the interval-posets, that encode intervals of the Tamari lattice. We then find a combinatorial interpretation of the bilinear form that appears in the fun…