Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multicolor list Ramsey numbers grow exponentially   The list Ramsey number $R_{\ell}(H,k)$, recently introduced by Alon, Buci\'c,
Kalvari, Kuperwasser, and Szab\'o, is a list-coloring variant of the classical
Ramsey number. They showed that if $H$ is a fixed $r$-uniform hypergraph that
is not $r$-partite and the number of colors $k$ goes to infinity,
$e^{\Omega(\sqrt{k})} \le R_{\ell} (H,k) \le e^{O(k)}$. We prove that
$R_{\ell}(H,k) = e^{\Theta(k)}$ if and only if $H$ is not $r$-partite.

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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom