15 citations · 24 across the 6 of their papers we have counts for
16 papers
Generation of musical patterns through operads
Samuele Giraudo
We introduce the notion of multi-pattern, a combinatorial abstraction of polyphonic musical phrases. The interest of this approach lies in the fact that this offers a way to compos…
Nonsymmetric operads in combinatorics
Samuele Giraudo
Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can be naturally composed to form bigger and…
Operads of decorated cliques I: Construction and quotients
Samuele Giraudo
We introduce a functorial construction which takes unitary magmas as input and produces operads. The obtained operads involve configurations of chords la…
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…