Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic connectivity of $k$-uniform hypergraphs   In this paper, we study the analytic connectivity of a $k$-uniform hypergraph
$H$, denoted by $\alpha(H)$. In addition to computing the analytic connectivity
of a complete $k$-graph, we present several bounds on analytic connectivity
that relate it with other graph invariants, such as degree, vertex
connectivity, diameter, and isoperimetric number.

28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol