1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.CO2020★ 1 cited
Lattices in Chip-Firing
Patrick Liscio
We analyze the poset of moves in chip-firing, as defined by Klivans and Liscio. Answering a question of Propp, we show that the move poset forms the join-irreducibles of the poset…
math.CO2020
Confluence in Labeled Chip-Firing
Caroline Klivans, Patrick Liscio
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 o…