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The arithmetic Tutte polynomials of the classical root systems
Abstract : Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariants of a hypertoric arrangement can be computed in terms of its arithmetic Tutte polynomial. We compute the arithmetic Tutte polynomials of the classical root systems $A_n, B_n, C_n$, and $D_n$ with respect to their integer, root, and weight lattices. We do it in two ways: by introducing a \emphfinite field method for arithmetic Tutte polynomials, and by enumerating signed graphs with respect to six parameters.
Cited literature [16 references]
https://hal.inria.fr/hal-01207564
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, October 1, 2015 - 9:28:29 AM
Last modification on : Wednesday, July 22, 2020 - 9:14:03 AM
Long-term archiving on: : Saturday, January 2, 2016 - 10:48:29 AM
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, October 1, 2015 - 9:28:29 AM
Last modification on : Wednesday, July 22, 2020 - 9:14:03 AM
Long-term archiving on: : Saturday, January 2, 2016 - 10:48:29 AM
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