Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planar graphs are 9/2-colorable   We show that every planar graph $G$ has a 2-fold 9-coloring. In particular,
this implies that $G$ has fractional chromatic number at most $\frac92$. This
is the first proof (independent of the 4 Color Theorem) that there exists a
constant $k<5$ such that every planar $G$ has fractional chromatic number at
most $k$.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom