Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Generalizations of the Butterfly Theorem   This paper provides a uniform explanation of different extensions and
generalizations of the butterfly theorem based on the Desargues involution
theorem.

30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
3
The categories of this paper are: physics
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ