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Comptes Rendus Mathématique
Volume 350, n° 9-10
pages 433-437 (mai 2012)
Doi : 10.1016/j.crma.2012.04.022
Received : 23 May 2011 ;  accepted : 27 April 2012
Les paires de tournois  -hypomorphes
The pairs of  -hypomorphic tournaments
 

Mouna Achour a , Youssef Boudabbous b, 1 , Abderrahim Boussaïri c
a Département de mathématiques, faculté des sciences de Sfax, université de Sfax, BP 1171, 3000 Sfax, Tunisie 
b King Saud University, Department of Mathematics, College of Sciences, P.O. Box 2455, Riyadh 11451, Saudi Arabia 
c Faculté des sciences Aïn-Chock, département de mathématiques et informatique, Km 8 route dʼEl Jadida, BP 5366 Maarif, Casablanca, Maroc 

Résumé

Suite au problème de la  -reconstruction posé par M. Pouzet, étant donné un tournoi décomposable T sur un ensemble S à   éléments, nous décrivons les tournois   sur S tels que pour toute partie X à   éléments de S , les sous-tournois   et   sont isomorphes.

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

Following the problem of the  -reconstruction proposed by M. Pouzet, given a decomposable tournament T on a set V with   elements, we describe the tournaments   on V such that for each subset X with   elements of V , the subtournaments   and   are isomorphic.

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1  This author extends his appreciation to the Deanship of Scientific Research at King Saud University for funding the work through the research group project No. RGP-VPP-056.


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