Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analogue of the Szemeredi Regularity Lemma for bounded degree graphs   We show that a sufficiently large graph of bounded degree can be decomposed
into quasi-homogeneous pieces. The result can be viewed as a "finitarization"
of the classical Farrell-Varadarajan Ergodic Decomposition Theorem.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin