Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Hayat Cheballah"'
Autor:
Philippe Biane, Hayat Cheballah
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
We are interested in finding an explicit bijection between two families of combinatorial objects: Gog and Magog triangles. These two families are particular classes of Gelfand-Tsetlin triangles and are respectively in bijection with alternating sign
Externí odkaz:
https://doaj.org/article/76dbbb7fdb224673ab46ef3f3cec7215
Publikováno v:
Theoretical Computer Science
Theoretical Computer Science, Elsevier, 2019, Theoretical Computer Science, 809, pp.171-188
Theoretical Computer Science, Elsevier, 2019, Theoretical Computer Science, 809, pp.171-188
International audience; The Möbius transform is a crucial transformation into the Boolean world; it allows to change the Boolean representation between the True Table and Algebraic Normal Form. In this work, we introduce a new algebraic point of vie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbc2b0a7dbdbc8924258311879d2ae35
https://hal.archives-ouvertes.fr/hal-01178356v3/document
https://hal.archives-ouvertes.fr/hal-01178356v3/document
Autor:
Hayat Cheballah, Philippe Biane
Publikováno v:
Journal of Combinatorial Theory, Series A
Journal of Combinatorial Theory, Series A, Elsevier, 2016, ⟨10.1016/j.jcta.2015.10.001⟩
Journal of Combinatorial Theory, Series A, Elsevier, 2016, ⟨10.1016/j.jcta.2015.10.001⟩
International audience; We consider the problem of finding a bijection between the sets of alternating sign matrices and of totally symmetric self complementary plane partitions, which can be reformulated using Gog and Magog triangles. In a previous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::baf05b9e3ec053eb2d946ad4945e31aa
https://doi.org/10.1016/j.jcta.2015.10.001
https://doi.org/10.1016/j.jcta.2015.10.001
Publikováno v:
Journal of Combinatorial Theory, Series A
Journal of Combinatorial Theory, Series A, Elsevier, 2015, 133, pp.139--182. ⟨10.1016/j.jcta.2015.02.001⟩
Journal of Combinatorial Theory, Series A, Elsevier, 2015, 133, pp.139--182. ⟨10.1016/j.jcta.2015.02.001⟩
International audience; We construct a new bigraded Hopf algebra whose bases are indexed by square matrices with entries in the alphabet {0, 1,. .. , k}, k 1, without null rows or columns. This Hopf algebra generalizes the one of permutations of Malv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::303056a309637c38f6856bbe3bdd0ad9
https://hal.archives-ouvertes.fr/hal-01236477/document
https://hal.archives-ouvertes.fr/hal-01236477/document
In this paper, we show that the infinite generalised Stirling matrices associated with boson strings with one annihilation operator are projective limits of approximate substitutions, the latter being characterised by a finite set of algebraic equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::909a0eb6c4f136da7eb57abd917da0ad
https://hal.archives-ouvertes.fr/hal-00249977/file/art1-v2.pdf
https://hal.archives-ouvertes.fr/hal-00249977/file/art1-v2.pdf