Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness for the q-state antiferromagnetic Potts model on the regular
  tree   We present an elementary proof for the uniqueness regime of the general
$q$-state antiferromagnetic Potts model on the $d$-ary tree. The key
observation is a positive association property of its boundary condition. We
also obtain the exact exponential decay rate in all of the subcritical regime,
and power law decay rate at the critical temperature.

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex