Ralph Morrison

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20232025

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math.RA2024

Commuting graphs of $p$ -adic matrices

Ralph Morrison

We study the commuting graph of $n \times n$ matrices over the field of $p$ -adics $Q_{p}$ , whose vertices are non-scalar $n \times n$ matrices with entries in $Q_{p}$ a…

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 $m \times n$ chessboard. We study through these graphs through the lens of chip-firing games and graph gon…

Commuting graphs of p-adic matrices

Chip-firing on the Platonic solids: a primer for studying graph gonality

The gonality of chess graphs

Commuting graphs of $p$ -adic matrices