Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphs with prescribed local neighborhoods of their universal coverings   Given a collection of n rooted trees with depth h, we give a necessary and
sufficient condition for this collection to be the collection of h-depth
universal covering neighborhoods at each vertex.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin