论文标题
平行四边形多支球菌和矩形EW-TableAux：通过砂岩模型的对应关系
Parallelogram polyominoes and rectangular EW-tableaux: correspondences through the sandpile model
论文作者
论文摘要
本文通过使用有关完整的两部分图上的沙珀模型的最新研究来建立EW-TableAux和平行四边形多支球菌之间的联系。本文介绍并证明了矩形EW-Tableaux和标记的带状平行四边形多支球蛋白之间的直接射击。这样做的意义在于，一个人可以在这些对象之间移动，而无需“经常性配置”，这是以前将此工作绑在一起的中心对象。它介绍了标记的矩形ew-tableaux的概念，该概念准确地编码了完整的两部分图上的砂模型的所有复发构型。这显示了如何以简单但重要的方式与EW-TableAux相关的简单但重要的方式来使用以前作品中介绍的非辅助支持条目。它将矩形EW-TableAux和标记的色带平行四边形多支球员之间的两者进行两次培养，从而在标记的矩形EW-TableAux和标记的平行四边形多支着的矩形ew-tableaine之间进行两次射击。这种培训有助于我们充分理解这些非常不同的物体的各个方面，从某种意义上说，这些物体是同一硬币的不同方面。
This paper establishes connections between EW-tableaux and parallelogram polyominoes by using recent research regarding the sandpile model on the complete bipartite graph. This paper presents and proves a direct bijection between rectangular EW-tableaux and labelled ribbon parallelogram polyominoes. The significance of this is that allows one to move between these objects without the need for `recurrent configurations', the central object which previously tied this work together. It introduces the notion of a marked rectangular EW-tableaux that exactly encode all recurrent configurations of the sandpile model on the complete bipartite graph. This shows how non-cornersupport entries that featured in previous work can be utilized in a simple but important way in relation to EW-tableaux. It lifts the bijection between rectangular EW-tableaux and labelled ribbon parallelogram polyominoes to a bijection between marked rectangular EW-tableaux and labelled parallelogram polyominoes. This bijection helps us to fully understand the aspects of these very different objects that are, in a sense, different sides of the same coin.
