Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Normalized Graph Cut and Cheeger Constant: from Discrete to
  Continuous   Let M be a bounded domain of a Euclidian space with smooth boundary. We
relate the Cheeger constant of M and the conductance of a neighborhood graph
defined on a random sample from M. By restricting the minimization defining the
latter over a particular class of subsets, we obtain consistency (after
normalization) as the sample size increases, and show that any minimizing
sequence of subsets has a subsequence converging to a Cheeger set of M.

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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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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: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg