论文标题
通过算盘的二氧化
Tilings of Benzels via the Abacus Bijection
论文作者
论文摘要
PROPP最近在名为Benzels的六角形网格中引入了区域，并使用两种称为石头和骨骼的原始类型的原始类型的原始类型的原始类型宣布了几种关于苯甲部瓷砖的概念。我们解决了他的两个猜想，并证明了他留下的其他结果。为了解决这些问题，我们首先将苯苯转移到方形网格中。我们的主要工具之一，我们将其与几个新想法相结合，是一项两者（由Stanton和White重新发现，并且通常归因于它们，尽管它年龄较大，但它们是$ k $ ribbon Tableaux的某些偏斜形状和某些$ k $ tableaux的tableaux。
Propp recently introduced regions in the hexagonal grid called benzels and stated several enumerative conjectures about the tilings of benzels using two types of prototiles called stones and bones. We resolve two of his conjectures and prove some additional results that he left tacit. In order to solve these problems, we first transfer benzels into the square grid. One of our primary tools, which we combine with several new ideas, is a bijection (rediscovered by Stanton and White and often attributed to them although it is considerably older) between $k$-ribbon tableaux of certain skew shapes and certain $k$-tuples of Young tableaux.
