A note on Jacobians, Tutte polynomials, and two-variable zeta functions of graphs
Combinatorics
2016-04-19 v2 Algebraic Geometry
Abstract
We address questions posed by Lorenzini about relations between Jacobians, Tutte polynomials, and the Brill-Noether theory of finite graphs, as encoded in his two-variable zeta functions. In particular, we give examples showing that none of these invariants is determined by the other two.
Keywords
Cite
@article{arxiv.1309.3340,
title = {A note on Jacobians, Tutte polynomials, and two-variable zeta functions of graphs},
author = {Julien Clancy and Timothy Leake and Sam Payne},
journal= {arXiv preprint arXiv:1309.3340},
year = {2016}
}
Comments
9 pages, 6 figures. v2: Improved exposition, updated references. Final version, to appear in Exp. Math