3 papers
math.CO2025
Chip-Firing Games on Banana Trees
Marchelle Beougher, Nila Cibu, Kexin Ding +6
We study chip-firing games on multigraphs whose underlying simple graphs are trees, paths, and stars, denoted as banana trees, paths, and stars respectively. We present a polynomia…
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.CO2024
The gonality of chess graphs
Nila Cibu, Kexin Ding, Steven DiSilvio +4
Chess graphs encode the moves that a particular chess piece can make on an chessboard. We study through these graphs through the lens of chip-firing games and graph gon…