4 papers
Chip-firing on the Platonic solids: a primer for studying graph gonality
Marchelle Beougher, Kexin Ding, Max Everett +4
This paper provides a friendly introduction to chip-firing games and graph gonality. We use graphs coming from the five Platonic solids to illustrate different tools and techniques…
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…
On the scramble number of graphs
Marino Echavarria, Max Everett, Robin Huang +3
The scramble number of a graph is an invariant recently developed to aid in the study of divisorial gonality. In this paper we prove that scramble number is NP-hard to compute, als…
Moduli dimensions of lattice polygons
Marino Echavarria, Max Everett, Shinyu Huang +5
Given a lattice polygon with interior lattice points, we associate to it the moduli space of tropical curves of genus with Newton polygon . We completely classify th…