2 citations · 4 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Extended Nestohedra and their Face Numbers
Quang Dao, Christina Meng, Julian Wellman +3
Nestohedra are a family of convex polytopes that includes permutohedra, associahedra, and graph associahedra. In this paper, we study an extension of such polytopes, called extende…
Multi-color forcing in graphs
Chassidy Bozeman, Pamela E. Harris, Neel Jain +2
Let be a finite connected graph along with a coloring of the vertices of using the colors in a given set . In this paper, we introduce multi-color forcing, a gener…
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…