Confluence in Labeled Chip-Firing
Combinatorics
2020-06-23 v1
Abstract
In 2016, Hopkins, McConville, and Propp proved that labeled chip-firing on a line always leaves the chips in sorted order if the number of chips is even. We present a novel proof of this result. We then apply our methods to resolve a number of related conjectures concerning the confluence of labeled chip-firing systems.
Cite
@article{arxiv.2006.12324,
title = {Confluence in Labeled Chip-Firing},
author = {Caroline Klivans and Patrick Liscio},
journal= {arXiv preprint arXiv:2006.12324},
year = {2020}
}
Comments
23 pages, 9 figures, accepted as poster to FPSAC 2020, submitted to JCTA-A