The arithmetic Tutte polynomials of the classical root systems
Skip to main content
eScholarship
Open Access Publications from the University of California

The arithmetic Tutte polynomials of the classical root systems

  • Author(s): Ardila, Federico
  • Castillo, Federico
  • Henley, Michael
  • et al.

Published Web Location

https://arxiv.org/pdf/1305.6621.pdf
No data is associated with this publication.
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 of types A,B,C, and D, with respect to their integer, root, and weight lattices. We do it in two ways: by introducing a finite field method for arithmetic Tutte polynomials, and by enumerating signed graphs with respect to six parameters.

Item not freely available? Link broken?
Report a problem accessing this item