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Comptes Rendus Mathématique
Volume 334, n° 4
pages 261-266 (2002)
Doi : S1631-073X(02)02258-6
Received : 3 December 2001 ;  accepted : 10 December 2001
S-arrangements avec répétitions
S-arrangements with repetitions
 

Sylviane R Schwer
LIPN, UMR CNRS 7030, Université Paris 13, Institut Galilée, 99, avenue Jean-Baptiste Clément, 93430 Villetaneuse, France 

Note présentée par Gilles Kahn

Résumé

Nous étudions les correspondances naturelles entre l'ensemble des arrangements de parties d'un ensemble avec répétitions et des ensembles d'objets rencontrés dans des domaines variés des mathématiques (chemins dans des treillis de dimension n , pré-ordres) et de l'informatique (langages formels, réseaux de Petri, intelligence artificielle), en utilisant le cadre des langages formels. En dimension 2, ces objets sont énumérés par les nombres de Delannoy. Pour citer cet article : S.R. Schwer, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 261-266.

The full text of this article is available in PDF format.
Abstract

We study natural correspondances between the set of arrangements of subsets with repetitions and families of objects met in various areas of mathematics (walks in lattices, pre-order) and computer science (formal languages, Petri nets, Artificial Intelligence), using the framework of formal languages. For n =2, they are enumerated by Delannoy numbers. To cite this article: S.R. Schwer, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 261-266.

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