29 citations · 29 across the 3 of their papers we have counts for
3 papers
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,…
Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes
Jean-Michel Billiot, Jean-François Coeurjolly, Rémy Drouilhet
This paper is devoted to the estimation of a vector parametrizing an energy function of a Gibbs point process, via the maximum pseudolikelihood method. Strong consistency a…
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…