Divisorial gonality of graphs, the slice rank polynomial method, and tensor products of convex cones

Discrete and metric divisorial gonality can be different

This paper compares the divisorial gonality of a finite graph G to the divisorial gonality of the associated metric graph Γ(G,1) with unit lengths. We show that dgon(Γ(G,1)) is equal to the minimal divisorial gonality of all regular subdivisions of G, and we provide a class of graphs for which this number is strictly smaller than the...