论文标题
frizes，薄弱的饰边和t-Paths
Friezes, weak friezes, and T-paths
论文作者
论文摘要
饰面模式在代数，组合和几何形状之间形成联系。关于表面三角剖分的t路径已用于获得群集变量的膨胀公式。 本文将介绍有关多边形解剖的弱饰边和T path的概念。我们的主要结果是，弱的饰边的特征是满足了我们称为t-path公式的扩展公式。 我们还表明，薄弱的饰边可以粘合在一起，并且只有当每个弱的friezes都被粘合时，所产生的弱饰面是一个frize。
Frieze patterns form a nexus between algebra, combinatorics, and geometry. T-paths with respect to triangulations of surfaces have been used to obtain expansion formulae for cluster variables. This paper will introduce the concepts of weak friezes and T-paths with respect to dissections of polygons. Our main result is that weak friezes are characterised by satisfying an expansion formula which we call the T-path formula. We also show that weak friezes can be glued together, and that the resulting weak frieze is a frieze if and only if so was each of the weak friezes being glued.
