Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of Graph Fractaloids   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.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph