Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly even-cycle decomposable graphs   A graph is strongly even-cycle decomposable if the edge set of every
subdivision with an even number of edges can be partitioned into cycles of even
length. We prove that several fundamental composition operations that preserve
the property of being Eulerian also yield strongly even-cycle decomposable
graphs. As an easy application of our theorems, we give an exact
characterization of the set of strongly even-cycle decomposable cographs.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess