Graph insertion operads
| Autor: | Aval, Jean-Christophe, Giraudo, Samuele, Karaboghossian, Théo, Tanasa, Adrian |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Formal Power Series and Algebraic Combinatorics, S\'eminaire Lotharingien de Combinatoire, 84B.66, 2020 |
| Druh dokumentu: | Working Paper |
| Popis: | 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 on multigraphs, directly generalizing the Kontsevich-Willwacher operad, and has many interesting suboperads. The latter is a natural extension of the pre-Lie operad in a sense developed here and related to the multigraph operad. We study some of the finitely generated suboperads of the multigraph operad and establish links between them and the commutative operad and the commutative magmatic operad. Comment: 12 pages. Extended abstract of arXiv:1912.06563 |
| Databáze: | arXiv |
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