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math.CO2017
The Varchenko Determinant of a Coxeter Arrangement
Götz Pfeiffer, Hery Randriamaro
The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, ho…
math.CO2017
The Tutte Polynomial of Symmetric Hyperplane Arrangements
Hery Randriamaro
The Tutte polynomial is originally a bivariate polynomial which enumerates the colorings of a graph and of its dual graph. Ardila extended in 2007 the definition of the Tutte polyn…
math.CO2017
Tutte Polynomials of Symmetric Hyperplane Arrangements
Hery Randriamaro
Originally in 1954 the Tutte polynomial was a bivariate polynomial associated to a graph in order to enumerate the colorings of this graph and of its dual graph at the same time. H…