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math.CO2025
Refined Brill-Noether Theory for Complete Graphs
Haruku Aono, Eric Burkholder, Owen Craig +3
The divisor theory of the complete graph is in many ways similar to that of a plane curve of degree . We compute the splitting types of all divisors on the complete graph…
math.CO2024
Fibonacci Sumsets and the Gonality of Strip Graphs
David Jensen, Doel Rivera Laboy
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 oute…
math.CO2024
On the Gonality of Ferrers Rook Graphs
David Jensen, Marissa Morvai, William Welch +1
A Ferrers rook graph is a graph whose vertices correspond to the dots in a Ferrers diagram, and where two vertices are adjacent if they are in the same row or the same column. We p…