Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perfect matchings in 3-partite 3-uniform hypergraphs   Let $H$ be a $3$-partite $3$-uniform hypergraph, i.e. a $3$-uniform
hypergraph such that every edge intersects every partition class in exactly one
vertex, with each partition class of size $n$. We determine a Dirac-type vertex
degree threshold for perfect matchings in $3$-partite $3$-uniform hypergraphs.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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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: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex