We study the interplay between chip-firing games and potential theory on graphs,
characterizing reduced divisors (G-parking functions) on graphs as the solution to an energy …

Baker and Norine introduced a graph-theoretic analogue of the Riemann–Roch theory. A
central notion in this theory is the rank of a divisor. In this paper we prove that computing the …

Baker and Norine initiated the study of graph divisors as a graph-theoretic analogue of the
Riemann-Roch theory for Riemann surfaces. One of the key concepts of graph divisor theory …

This thesis is about three related topics, chip-firing, graph divisor theory and rotorrouting.
Chip-firing and rotor-routing are simple, yet interesting diffusion processes on graphs, that …

Chip-firing games and divisor theory on finite, connected, undirected and unweighted
graphs have been studied as analogs of divisor theory on Riemann Surfaces. As part of this …