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pro vyhledávání: '"Karaboghossian, Théo"'
Autor:
Karaboghossian, Théo
In 2017 Aguiar and Ardila provided a generic way to construct polynomial invariants of combinatorial objects using the notions of Hopf monoids and characters of Hopf monoids. They show that it is possible to find a combinatorial interpretation of the
Externí odkaz:
http://arxiv.org/abs/2203.03947
Publikováno v:
Formal Power Series and Algebraic Combinatorics, S\'eminaire Lotharingien de Combinatoire, 84B.66, 2020
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 opera
Externí odkaz:
http://arxiv.org/abs/2002.10926
Publikováno v:
In European Journal of Combinatorics October 2023 113
The overall aim of this paper is to define a structure of graph operads, thus generalizing the celebrated pre-Lie operad on rooted trees. More precisely, we define two operads on multigraphs, and exhibit a non trivial link between them and the pre-Li
Externí odkaz:
http://arxiv.org/abs/1912.06563
Publikováno v:
Formal Power Series and Algebraic Combinatorics, S\'eminaire Lotharingien de Combinatoire, 82B.32, 2019
In arXiv:1709.07504 Aguiar and Ardila give a Hopf monoid structure on hypergraphs as well as a general construction of polynomial invariants on Hopf monoids. Using these results, we define in this paper a new polynomial invariant on hypergraphs. We g
Externí odkaz:
http://arxiv.org/abs/1904.09878
Publikováno v:
The Electronic Journal of Combinatorics, Volume 27, Issue 1 (2020) P1.34
In arXiv:1709.07504 Ardila and Aguiar give a Hopf monoid structure on hypergraphs as well as a general construction of polynomial invariants on Hopf monoids. Using these results, we define in this paper a new polynomial invariant on hypergraphs. We g
Externí odkaz:
http://arxiv.org/abs/1806.08546
Akademický článek
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Publikováno v:
FPSAC'2019
FPSAC'2019, 2019, Ljubljana, Slovenia
FPSAC'2019, 2019, Ljubljana, Slovenia
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::10e76b703e12a419e66ee64de0429190
https://hal.archives-ouvertes.fr/hal-02333347
https://hal.archives-ouvertes.fr/hal-02333347
Akademický článek
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K zobrazení výsledku je třeba se přihlásit.
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Autor:
Karaboghossian, Théo
Publikováno v:
Algebraic Topology [math.AT]. Université de Bordeaux, 2020. English. ⟨NNT : 2020BORD0123⟩
In the first half of this dissertation, we study the polynomial invariants defined by Aguiar and Ardila in arXiv:1709.07504 in the context of Hopf monoids. We first give a combinatorial interpretation of these polynomials over the Hopf monoids of gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::bf11721d1fdd91c0208b879260aa4845
http://hdl.handle.net/20.500.12278/21211
http://hdl.handle.net/20.500.12278/21211