Labeled Chip-Firing on Star Graphs
Combinatorics
2025-11-03 v1
Abstract
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 property of this game and analyze special stable configurations corresponding to standard Young tableaux.
Cite
@article{arxiv.2510.27082,
title = {Labeled Chip-Firing on Star Graphs},
author = {Annika Gonzalez-Zugasti and Ryan Lynch and Dylan Snustad},
journal= {arXiv preprint arXiv:2510.27082},
year = {2025}
}
Comments
15 pages, 5 figures