Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 5-cycles and the Petersen graph   We show that if G is a connected bridgeless cubic graph whose every 2-factor
is comprised of cycles of length five then G is the Petersen graph.

26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
2
The categories of this paper are: math