Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

Operads of decorated cliques I: construction and quotients

Abstract : We introduce a functorial construction C which takes unitary magmas as input and produces operads. The obtained operads involve configurations of chords labeled by elements of , called-decorated cliques and generalizing usual configurations of chords. By considering combinatorial subfamilies of-decorated cliques defined, for instance, by limiting the maximal number of crossing diagonals or the maximal degree of the vertices, we obtain suboperads and quotients of C. This leads to a new hierarchy of operads containing, among others, operads on noncrossing configurations, Motzkin configurations, forests, dissections of polygons, and involutions. Besides, the construction C leads to alternative definitions of the operads of simple and double multi-tildes, and of the gravity operad.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03668999
Contributor : Samuele Giraudo Connect in order to contact the contributor
Submitted on : Wednesday, June 1, 2022 - 12:05:44 PM
Last modification on : Thursday, June 23, 2022 - 6:29:33 AM

File

Cliques1.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03668999, version 1

Collections

Citation

Samuele Giraudo. Operads of decorated cliques I: construction and quotients. Séminaire Lotharigien de Combinatoire, 2021. ⟨hal-03668999⟩

Share

Metrics

Record views

3

Files downloads

4