论文标题
标记的芯片汇合
Confluence in Labeled Chip-Firing
论文作者
论文摘要
2016年,霍普金斯,麦康维尔和PROPP证明,如果芯片的数量均匀,则在一条线上标记的芯片被标记的芯片总是以排序的顺序离开。我们提供了这个结果的新颖证明。然后,我们采用我们的方法来解决有关标记芯片引发系统汇合的许多相关猜想。
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.