Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coloring bipartite graphs with semi-small list size   Recently, Alon, Cambie, and Kang introduced asymmetric list coloring of
bipartite graphs, where the size of each vertex's list depends on its part. For
complete bipartite graphs, we fix the list sizes of one part and consider the
resulting asymptotics, revealing an invariant quantity instrumental in
determining choosability across most of the parameter space. By connecting this
quantity to a simple question on independent sets of hypergraphs, we strengthen
bounds when a part has list size 2. Finally, we state via our framework a
conjecture on general bipartite graphs, unifying three conjectures of
Alon-Cambie-Kang.

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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int