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math.CO2016
Tutte Polynomials for Directed Graphs
Jordan Awan, Olivier Bernardi
The Tutte polynomial is a fundamental invariant of graphs. In this article, we define and study a generalization of the Tutte polynomial for directed graphs, that we name B-polynom…
math.CO2016
Deformations of the braid arrangement and Trees
Olivier Bernardi
We establish counting formulas and bijections for deformations of the braid arrangement. Precisely, we consider real hyperplane arrangements such that all the hyperplanes are of th…