2 papers
math.CO2009
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,…
cond-mat.stat-mech2006
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…