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Comptes Rendus Mathématique
Volume 348, n° 15-16
pages 825-828 (août 2010)
Doi : 10.1016/j.crma.2010.07.014
Received : 16 February 2010 ;  accepted : 12 July 2010
Topological fixed points in Boolean networks
Points fixes topologiques dans les réseaux booléens
 

Loïc Paulevé a , Adrien Richard b
a IRCCyN, École centrale de Nantes, 1, rue de la Noë, 44321 Nantes, France 
b I3S, UMR 6070 CNRS & Université de Nice–Sophia Antipolis, 2000, route des Lucioles, 06903 Sophia Antipolis, France 

Abstract

We introduce the notion of a topological fixed point in Boolean Networks: a fixed point of Boolean network F is said to be topologic if it is a fixed point of every Boolean network with the same interaction graph as the one of F . Then, we characterize the number of topological fixed points of a Boolean network according to the structure of its interaction graph.

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

Nous introduisons la notion de point fixe topologique dans les réseaux booléens : un point fixe d'un réseau booléen F est dit topologique s'il est un point fixe de tous les réseaux booléens ayant le même graphe d'interaction que F . Ensuite, nous caractérisons le nombre de points fixes topologiques d'un réseau booléen en fonction de la structure de son graphe d'interaction.

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


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