Discrete Mathematics & Theoretical Computer Science 
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 <i>arithmetic</i> 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.
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IsRelatedTo ARXIV 0911.4823 Source : ScholeXplorer IsRelatedTo DOI 10.1090/s000299472011054917 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0911.4823
