Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cycle Double Covers via Kotzig Graphs   We show that every $2$-connected cubic graph $G$ has a cycle double cover if
$G$ has a spanning subgraph $F$ such that (i) every component of $F$ has an
even number of vertices (ii) every component of $F$ is either a cycle or a
subdivision of a Kotzig graph and (iii) the components of $F$ are connected to
each other in a certain general manner.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th