2 papers
math.CO2025
Labeled Chip-Firing on Star Graphs
Annika Gonzalez-Zugasti, Ryan Lynch, Dylan Snustad
We study the stable configurations of the labeled chip-firing game on an infinitely subdivided -star graph starting with chips on the center vertex. We prove a sorting prop…
math.CO2023
Chip-firing and critical groups of signed graphs
Matthew Cho, Anton Dochtermann, Ryota Inagaki +3
We study chip-firing on a signed graph , employing a general theory of chip-firing on invertible matrices introduced by Guzmán and Klivans. Here a negative edge designates an…