4 papers
Multiplicity-Free Gonality on Graphs
Frances Dean, Max Everett, Ralph Morrison
The divisorial gonality of a graph is the minimum degree of a positive rank divisor on that graph. We introduce the multiplicity-free gonality of a graph, which restricts our consi…
Gonality sequences of graphs
Ivan Aidun, Frances Dean, Ralph Morrison +2
To any graph we associate a sequence of integers called the gonality sequence of the graph, consisting of the minimum degrees of divisors of increasing rank on the graph. This is a…
Graphs of gonality three
Ivan Aidun, Frances Dean, Ralph Morrison +2
In 2013, Chan classified all metric hyperelliptic graphs, proving that divisorial gonality and geometric gonality are equivalent in the hyperelliptic case. We show that such a clas…
Treewidth and gonality of glued grid graphs
Ivan Aidun, Frances Dean, Ralph Morrison +2
We compute the treewidth of a family of graphs we refer to as the glued grids, consisting of the stacked prism graphs and the toroidal grids. Our main technique is constructing str…