60 citations · 179 across the 42 of their papers we have counts for
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Colored operads, series on colored operads, and combinatorial generating systems
Samuele Giraudo
We introduce bud generating systems, which are used for combinatorial generation. They specify sets of various kinds of combinatorial objects, called languages. They can emulate co…
Pluriassociative algebras II: The polydendriform operad and related operads
Samuele Giraudo
Dendriform algebras form a category of algebras recently introduced by Loday. A dendriform algebra is a vector space endowed with two nonassociative binary operations satisfying so…
Pluriassociative algebras I: The pluriassociative operad
Samuele Giraudo
Diassociative algebras form a categoy of algebras recently introduced by Loday. A diassociative algebra is a vector space endowed with two associative binary operations satisfying…
Unshuffling Permutations
Samuele Giraudo, Stéphane Vialette
A permutation is said to be a square if it can be obtained by shuffling two order-isomorphic patterns. The definition is intended to be the natural counterpart to the ordinary shuf…