6 citations · 6 across the 6 of their papers we have counts for
6 papers
A lower bound on the expected optimal value of certain random linear programs and application to shortest paths and reliability
Stephane Chretien, Franck Corset
The paper studies the expectation of the inspection time in complex aging systems. Under reasonable assumptions, this problem is reduced to studying the expectation of the length o…
Continuum Percolation in the Relative Neighborhood Graph
Jean-Michel Billiot, Franck Corset, Eric Fontenas
In the present study, we establish the existence of nontrivial site percolation threshold in the Relative Neighborhood Graph (RNG) for Poisson stationary point process with unit in…
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…