Confluence in labeled chip-firing

نویسندگان

چکیده

In 2016, Hopkins, McConville, and Propp proved that labeled chip-firing on a line always leaves the chips in sorted order provided initial number of is even. We present novel proof this result. then apply our methods to resolve related conjectures concerning confluence systems.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2022

ISSN: ['0097-3165', '1096-0899']

DOI: https://doi.org/10.1016/j.jcta.2021.105542