Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on 5-cycle double covers   The strong cycle double cover conjecture states that for every circuit $C$ of
a bridgeless cubic graph $G$, there is a cycle double cover of $G$ which
contains $C$. We conjecture that there is even a 5-cycle double cover $S$ of
$G$ which contains $C$, i.e. $C$ is a subgraph of one of the five 2-regular
subgraphs of $S$. We prove a necessary and sufficient condition for a 2-regular
subgraph to be contained in a 5-cycle double cover of $G$.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con