Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic progressions in sets with small sumsets   We present an elementary proof that if $A$ is a finite set of numbers, and
the sumset $A+_GA$ is small, $|A+_GA|\leq c|A|$, along a dense graph $G$, then
$A$ contains $k$-term arithmetic progressions.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th