Fibonacci Sumsets and the Gonality of Strip Graphs
Abstract
Abstract. We provide a new perspective on the divisor theory of graphs, using additive combinatorics. As a test case for this perspective, we compute the gonality of certain families of outerplanar graphs, specifically the strip graphs. The Jacobians of such graphs are always cyclic of Fibonacci order. As a consequence, we obtain several results on the additive properties of Fibonacci numbers.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Graph Labeling and Dimension Problems
Graph theory and applications
Publication details
- Journal / source
- SIAM Journal on Discrete Mathematics
- Volume
- 40
- Issue
- 3
- Pages
- 1206–1228
- Publication date
- 24 July 2026
- Language
- EN