Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The vector graph and the chromatic number of the plane, or how NOT to
  prove that $\chi(\mathbb{E}^2)>4$   The chromatic number $\chi\left(\mathcal{E^2}\right)$ of the plane is known
to be some integer between 4 and 7, inclusive. We prove a limiting result that
says, roughly, that one cannot increase the lower bound on
$\chi\left(\mathcal{E^2}\right)$ by pasting Moser Spindles together, even
countably many.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph