标题： 图分形体的分类 显示英文标题

标题： Classification of Graph Fractaloids

摘要： 在本文中，我们观察图分形体，它们是具有分形性质的图群胚。 特别地，我们根据某些希尔伯特空间算子的谱数据对其进行分类，这些算子称为径向算子。 基于这些信息，我们可以为给定的图分形体 G 定义一对数字$(N_{0},$ $N^{0})$ ，称为 G 的分形对。图分形体通过这样的对进行分类。 显示英文摘要

摘要： In this paper, we observe graph fractaloids, which are the graph groupoids with fractal property. In particular, we classify them in terms of the spectral data of certain Hilbert space operators, called the radial operators. Based on these information, we can define the pair of two numbers $(N_{0},$ $N^{0})$, for a given graph fractaloid G, called the fractal pair of G. The graph fractaloids are classified by such pairs.