A Riemann-Roch theorem for edge-weighted graphs

Abstract

We prove a Riemann-Roch theorem for real divisors on edge-weighted graphs over the reals, extending the result of Baker and Norine for integral divisors on graphs with multiple edges.

Minor revisions, 10 pages

Cited by in corpus (2)

• Linear Systems on Edge-Weighted Graphs
• Brill-Noether Existence on Graphs via $\mathbb{R}$-Divisors, Polytopes and Lattices