Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Chouria, Ali"'
We define and prove isomorphisms between three combinatorial classes involving labeled trees. We also give an alternative proof by means of generating functions.
Comment: 14 pages, 6 figures, accepted for presentation at the International Confer
Comment: 14 pages, 6 figures, accepted for presentation at the International Confer
Externí odkaz:
http://arxiv.org/abs/2004.04203
Autor:
Chouria, Ali, Luque, Jean-Gabriel
Publikováno v:
Comptes Rendus de l'Acad\'emie des sciences Volume 355, Issue 3, Pages 243-247 (2017)
We introduce partial $r$-Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenhauss formula.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1607.03651
Publikováno v:
Ann. Inst. Henri Poincar\'e Comb. Phys. Interact. 5 (2018), 61-102
In the aim to understand the generalization of Stirling numbers occurring in the bosonic normal ordering problem, several combinatorial models have been proposed. In particular, Blasiak \emph{et al.} defined combinatorial objects allowing to interpre
Externí odkaz:
http://arxiv.org/abs/1512.05937
Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc. Many of the formulae on Bell polynomials involve combinatorial objects
Externí odkaz:
http://arxiv.org/abs/1402.2960
We give noncommutative versions of the Redfield-P\'olya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
Comment: Accepted to FPSAC 2013
Comment: Accepted to FPSAC 2013
Externí odkaz:
http://arxiv.org/abs/1302.5815
Autor:
Chouria, Ali, Luque, Jean-Gabriel
Publikováno v:
In Comptes rendus - Mathématique March 2017 355(3):243-247
Publikováno v:
Seminaire Lotharingien de Combinatoire
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, 2017, 75, pp.B75h
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, 2017, 75, pp.B75h
International audience; Multivariate partial Bell polynomials have been dened by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra , Probabilities, etc. Many of the formulas on Bell polynomials involv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c2afe31c2c262aae38a51d9c44734768
https://hal-normandie-univ.archives-ouvertes.fr/hal-02096052
https://hal-normandie-univ.archives-ouvertes.fr/hal-02096052
Accepted to FPSAC 2013; We give noncommutative versions of the Redfield-Pólya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::03227b04a2fa987274c99dd92c3dd3f9
https://hal.archives-ouvertes.fr/hal-00793788/file/Polya_arxiv.pdf
https://hal.archives-ouvertes.fr/hal-00793788/file/Polya_arxiv.pdf