Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: P\'osa-type results for Berge-hypergraphs   A Berge-cycle of length $k$ in a hypergraph $\mathcal H$ is a sequence of
distinct vertices and hyperedges $v_1,h_1,v_2,h_2,\dots,v_{k},h_k$ such that
$v_{i},v_{i+1}\in h_i$ for all $i\in[k]$, indices taken modulo $k$. F\"uredi,
Kostochka and Luo recently gave sharp Dirac-type minimum degree conditions that
force non-uniform hypergraphs to have a Hamiltonian Berge-cycles. We give a
sharp P\'osa-type lower bound for $r$-uniform and non-uniform hypergraphs that
force Hamiltonian Berge-cycles.

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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th