4 papers
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…
On the gonality of Cartesian products of graphs
Ivan Aidun, Ralph Morrison
In this paper we study Cartesian products of graphs and their divisorial gonality, which is a tropical version of the gonality of an algebraic curve. We present an upper bound on t…
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…