1 citations · 1 across the 2 of their papers we have counts for
6 papers
Cliff operads: a hierarchy of operads on words
Camille Combe, Samuele Giraudo
A new hierarchy of operads over the linear spans of -cliffs, which are some words of integers, is introduced. These operads are intended to be analogues of the operad of permuta…
Three Fuss-Catalan posets in interaction and their associative algebras
Camille Combe, Samuele Giraudo
We introduce -cliffs, a generalization of permutations and increasing trees depending on a range map . We define a first lattice structure on these objects and we establish g…
A geometric and combinatorial exploration of Hochschild lattices
Camille Combe
Hochschild lattices are specific intervals in the dexter meet-semilattices recently introduced by Chapoton. A natural geometric realization of these lattices leads to some cell com…
Three interacting families of Fuss-Catalan posets
Camille Combe, Samuele Giraudo
Three families of posets depending on a nonnegative integer parameter are introduced. The underlying sets of these posets are enumerated by the -Fuss Catalan numbers. Among…
Cubic realizations of Tamari interval lattices
Camille Combe
We introduce cubic coordinates, which are integer words encoding intervals in the Tamari lattices. Cubic coordinates are in bijection with interval-posets, themselves known to be i…
Geometric realizations of Tamari interval lattices via cubic coordinates
Camille Combe
We introduce cubic coordinates, which are integer words encoding intervals in the Tamari lattices. Cubic coordinates are in bijection with interval-posets, themselves known to be i…