3 papers
math.AG2024
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…
math.CO2021
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…
math.CA2020
Resistance Scaling on -Carpets
Claire Canner, Christopher Hayes, Shinyu Huang +2
The carpets are a class of infinitely ramified self-similar fractals with a large group of symmetries. For a -carpet , let be the natural decreasin…