论文标题
Elnitksy多边形中的强迫周长
Forced perimeter in Elnitksy polygons
论文作者
论文摘要
我们研究基于瓷砖的周长并表征当给定的周长瓷砖出现在Elnitsky多边形的所有菱形瓷砖中时。无论外围在哪里，该瓷砖出现在哪里，都可以用321个模式来描述其强迫。我们以最大强迫的右瓷砖为特征，表明它们被加泰罗尼亚数字列举。
We study tiling-based perimeter and characterize when a given perimeter tile appears in all rhombic tilings of an Elnitsky polygon. Regardless of where on the perimeter this tile appears, its forcing can be described in terms of 321-patterns. We characterize the permutations with maximally many forced right-perimeter tiles, and show that they are enumerated by the Catalan numbers.
