Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 4-connected planar graphs are in $B_3$-EPG   We show that every 4-connected planar graph has a $B_3$-EPG representation,
i.e., every vertex is represented by a curve on the grid with at most three
bends, and two vertices are adjacent if and only if the corresponding curves
share an edge of the grid. Our construction is based on a modification of the
representation by touching thickened $L$-shapes proposed by Gon\c{c}alves et
al.

6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con