4 papers
Designing a Bayesian Network for Preventive Maintenance from Expert Opinions in a Rapid and Reliable Way
Gilles Celeux, Franck Corset, A. Lannoy +1
In this study, a Bayesian Network (BN) is considered to represent a nuclear plant mechanical system degradation. It describes a causal representation of the phenomena involved in t…
On uniqueness of the q-state Potts model on a self-dual family of graphs
Jean-Michel Billiot, Franck Corset, Eric Fontenas
This paper deals with the location of the complex zeros of the Tutte polynomial for a class of self-dual graphs. For this class of graphs, as the form of the eigenvalues is known,…
Using the Eigenvalue Relaxation for Binary Least-Squares Estimation Problems
Stephane Chretien, Franck Corset
The goal of this paper is to survey the properties of the eigenvalue relaxation for least squares binary problems. This relaxation is a convex program which is obtained as the Lagr…
On the number of clusters for planar graphs
Jean-Michel Billiot, Franck Corset, Eric Fontenas
The Tutte polynomial is a powerfull analytic tool to study the structure of planar graphs. In this paper, we establish some relations between the number of clusters per bond for pl…