Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subcubic planar graphs of girth 7 are class I   We prove that planar graphs of maximum degree 3 and of girth at least 7 are
3-edge-colorable, extending the previous result for girth at least 8 by Kronk,
Radlowski, and Franen from 1974.

36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys