Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amenability of trees   We will give a criterion for the amenability of arbitrary locally finite
trees. The criterion is based on the trimming operator which is defined on the
space of trees. As an application, we obtain a necessary and sufficient
condition for that amenability of Galton-Watson trees.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs