Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved bounds for coloring locally sparse hypergraphs   We show that, for every $k \ge 2$, every $k$-uniform hypergaph of degree
$\Delta$ and girth at least $5$ is efficiently $(1+o(1) )(k-1) (\Delta / \ln
\Delta )^{ 1/(k-1) } $-list colorable. As an application (and to the best of
our knowledge) we obtain the currently best algorithm for list-coloring random
hypergraphs of bounded average degree.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat