6 citations · 6 across the 5 of their papers we have counts for
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math.CO2024
Criteria for a split real polynomial
Jean-Michel Billiot, Eric Fontenas
In this article, we establish necessary and sufficient conditions for a polynomial of degree to have exactly real roots. A complete study of polynomials of degree five is c…
math.CO2019
An iterative approach for real roots of polynomials
J. -M Billiot, E Fontenas
In the present study, we propose necessary and sufficient assumptions on the coefficients in order to only get distinct real roots of polynomials.
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,…