Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: List Colouring Squares of Planar Graphs   In 1977, Wegner conjectured that the chromatic number of the square of every
planar graph $G$ with maximum degree $\Delta\ge8$ is at most
$\bigl\lfloor\frac32\Delta\bigr\rfloor+1$. We show that it is at most $\frac32
\Delta (1+o(1))$ (where the $o(1)$ is as $\Delta\to+\infty$), and indeed that
this is true for the list chromatic number and for more general classes of
graphs.

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The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
3
The categories of this paper are: physics