60 citations · 179 across the 42 of their papers we have counts for
4 papers · 1 filter
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…
Duality of graded graphs through operads
Samuele Giraudo
Pairs of graded graphs, together with the Fomin property of graded graph duality, are rich combinatorial structures providing among other a framework for enumeration. The prototypi…
Graph insertion operads
Jean-Christophe Aval, Samuele Giraudo, Théo Karaboghossian +1
Using the combinatorial species setting, we propose two new operad structures on multigraphs and on pointed oriented multigraphs. The former can be considered as a canonical operad…
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…