Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the decycling of powers and products of cycles   We calculate exact values of the decycling numbers of $C_{m} \times C_{n}$
for $m=3,4$, of $C_{n}^{2}$, and of $C_{n}^{3}$.

26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex