52 citations · 193 across the 24 of their papers we have counts for
5 papers · 1 filter
On the Semigroup of Graph Gonality Sequences
Austin Fessler, David Jensen, Elizabeth Kelsey +1
The th gonality of a graph is the smallest degree of a divisor on the graph with rank . The gonality sequence of a graph is a tropical analogue of the gonality sequence of an…
A New Lower Bound on Graph Gonality
Michael Harp, Elijah Jackson, David Jensen +1
We define a new graph invariant called the scramble number. We show that the scramble number of a graph is a lower bound for the gonality and an upper bound for the treewidth. Unli…
The motivic zeta functions of a matroid
David Jensen, Max Kutler, Jeremy Usatine
We introduce motivic zeta functions for matroids. These zeta functions are defined as sums over the lattice points of Bergman fans, and in the realizable case, they coincide with t…
Realization of groups with pairing as Jacobians of finite graphs
Louis Gaudet, David Jensen, Dhruv Ranganathan +2
We study which groups with pairing can occur as the Jacobian of a finite graph. We provide explicit constructions of graphs whose Jacobian realizes a large fraction of odd groups w…
Gonality of Random Graphs
Andrew Deveau, David Jensen, Jenna Kainic +1
We show that the expected gonality of a random graph is asymptotic to the number of vertices.