Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The proof of Steinberg's three coloring conjecture   The well-known Steinberg's conjecture asserts that any planar graph without
4- and 5-cycles is 3 colorable. In this note we have given a short algorithmic
proof of this conjecture based on the spiral chains of planar graphs proposed
in the proof of the four color theorem by the author in 2004.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th