Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting cubic circle graphs   We show that every 3-regular circle graph has at least two pairs of twin
vertices; consequently no such graph is prime with respect to the split
decomposition. We also deduce that up to isomorphism, K_4 and K_{3,3} are the
only 3-connected, 3-regular circle graphs.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th