Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A probabilistic Hadwiger-Nelson problem   If you color a table using k colors, and throw a needle randomly on it, for
some proper definition, you get a certain probability that the endpoints will
fall on different colors. How can one make this probability maximal? This
problem is related to finite graphs having unit-length edges, and some bounds
on the optimal probability are deduced.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics