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arxiv: 1309.3340 · v2 · pith:5556TCSZnew · submitted 2013-09-13 · 🧮 math.CO · math.AG

A note on Jacobians, Tutte polynomials, and two-variable zeta functions of graphs

classification 🧮 math.CO math.AG
keywords functionsgraphsjacobianspolynomialstuttetwo-variablezetaaddress
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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.

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