In this paper we study Cartesian products of graphs and their divisorial gonality, which is a
tropical version of the gonality of an algebraic curve. We present an upper bound on the …

Abstract We study Brill–Noether existence on a finite graph using methods from polyhedral
geometry and lattices. We start by formulating analogues of the Brill–Noether conjectures …

We consider the asymptotic behavior of the second and higher gonalities of an Erdos-Rényi
random graph and provide upper bounds for both via the probabilistic method. Our results …