Séminaire Lotharingien de Combinatoire, 84B.6 (2020), 12 pp.

Florent Hivert and Vincent Pilaud

Signaletic Operads

Abstract. We define signaletic operads that extend the dendriform and diassociative operads by abstracting shuffle product decompositions according to the provenance of the first k letters. We realize these operads combinatorially in terms of multipermutations and multiposets avoiding certain patterns.


Received: November 20, 2019. Accepted: February 20, 2020. Final version: April 30, 2020.

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