IJPAM: Volume 67, No. 4 (2011)

PRETOPOLOGY, MATROÏDES AND HYPERGRAPHS

Monique Dalud-Vincent$^1$, Marcel Brissaud$^2$, Michel Lamure$^3$
$^1$MEPS - Max Weber Center
University Lyon 2
5, Avenue Pierre Mendès-France, B.P. 11 Sociologie
Bron Cedex, 69676, FRANCE
e-mail: monique.vincent-Dalud@univ-lyon2.fr
$^{2,3}$ERIC
University Lyon 1
UFR d'Odontologie, 11 Rue Guillaume Paradin
Cedex 02, Lyon, 69372, FRANCE
$^3$e-mail: lamure@univ-lyon1.fr


Abstract. In this paper, we present the theoretical links between pretopology and matroïdes on one hand and pretopology and hypergraphs on the other hand. We show how the pretopology recovers these two domains.

Received: October 30, 2010

AMS Subject Classification: 54A05, 54A10

Key Words and Phrases: graph, pretopology, matroïde, hypergraph

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 4