Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Frédéric Chapoton"'
Autor:
Frédéric Chapoton
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 18 no. 3, Iss Combinatorics (2016)
30 pages, 12 figures
Externí odkaz:
https://doaj.org/article/14a1a79a94f24699b6eae0930e2535ae
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)
We use a recently introduced combinatorial object, the $\textit{interval-poset}$, to describe two bijections on intervals of the Tamari lattice. Both bijections give a combinatorial proof of some previously known results. The first one is an inner bi
Externí odkaz:
https://doaj.org/article/0c663b65b330484182b512af41394528
Autor:
Frédéric Chapoton
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AJ,..., Iss Proceedings (2008)
Motivated by the theory of operads, we introduce new combinatorial objects, called shrubs, that generalize forests of rooted trees. We show that the species of shrubs is isomorphic to the species of series-parallel posets.
Externí odkaz:
https://doaj.org/article/57d849a382674b9889048d10836cc70c
Autor:
Frédéric Chapoton
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 29:907-925
This article introduces Gamma-triangles, which are closely related to and more fundamental than F-triangles and H-triangles that have been used in the combinatorics of cluster complexes. It is proved that Gamma-triangles can be expressed as sums of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54ed5a0a1a565488a6cd768ebbfac859
https://doi.org/10.5802/afst.1649
https://doi.org/10.5802/afst.1649
Autor:
Frédéric Chapoton
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 32:205-215
The classical sequence of Bernoulli numbers is known to the the sequence of moments of a family of orthogonal polynomials. Some similar statements are obtained for another sequence of rational numbers, which is similar in many ways to the Bernoulli n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb41284b03a63ead4d79f8f8c0b46a25
https://doi.org/10.5802/jtnb.1118
https://doi.org/10.5802/jtnb.1118
Autor:
Guo-Niu Han, Frédéric Chapoton
Publikováno v:
Moscow Journal of Combinatorics and Number Theory
Moscow Journal of Combinatorics and Number Theory, Moscow Institute of Physics and Technology, 2020, 9 (2), pp.163-172
Mosc. J. Comb. Number Theory 9, no. 2 (2020), 163-172
Moscow Journal of Combinatorics and Number Theory, Moscow Institute of Physics and Technology, 2020, 9 (2), pp.163-172
Mosc. J. Comb. Number Theory 9, no. 2 (2020), 163-172
The Poupard polynomials are polynomials in one variable with integer coefficients, with some close relationship to Bernoulli and tangent numbers. They also have a combinatorial interpretation. We prove that every Poupard polynomial has all its roots
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ca3bb0c59ed87d39ce0641a3fc0b324
https://doi.org/10.2140/moscow.2020.9.163
https://doi.org/10.2140/moscow.2020.9.163
Autor:
Frédéric Chapoton
Publikováno v:
Algebraic Combinatorics. 3:433-463
We introduce and study a new partial order on Dyck paths. We prove that these posets are meet-semilattices. We show that their numbers of intervals are the same as the number of bicubic planar maps. We describe an unexpected connection with the Hochs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a69adfaee854f2cc2eec0f858330550
https://doi.org/10.5802/alco.98
https://doi.org/10.5802/alco.98
Autor:
Frédéric Chapoton
We build, using the notion of zinbiel algebra, some commutative subalgebras $C_{u,v}$ inside an algebra of formal iterated integrals. There is a quotient map from this algebra of formal iterated integrals to the algebra of motivic multiple zeta value
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d38e0440903beed32ad633492bf8fa4
https://hal.archives-ouvertes.fr/hal-03329815/file/article_free_shuffle.pdf
https://hal.archives-ouvertes.fr/hal-03329815/file/article_free_shuffle.pdf
Autor:
Frédéric Chapoton
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030370305
There is a rich algebraic setting involving free pre-Lie algebras and the combinatorics of rooted trees. In this context, one can consider the analog of formal power series, called tree-indexed series. Several interesting such series are known, inclu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec1e4eb2c7f4e417cfa9e02cd4036c07
https://doi.org/10.1007/978-3-030-37031-2_16
https://doi.org/10.1007/978-3-030-37031-2_16
Publikováno v:
Journal of Combinatorics. 9:309-325
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64ddb3f88fd5b3e390c97bad4d9b0fda
https://doi.org/10.4310/joc.2018.v9.n2.a5
https://doi.org/10.4310/joc.2018.v9.n2.a5