Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Squares of Hamiltonian cycles in 3-uniform hypergraphs   We show that every $3$-uniform hypergraph $H=(V,E)$ with $|V(H)|=n$ and
minimum pair degree at least $(4/5+o(1))n$ contains a squared Hamiltonian
cycle. This may be regarded as a first step towards a hypergraph version of the
P\'osa-Seymour conjecture.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat