Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Complexities of Finite Digital Images   Digital topological methods are often used on computing the topological
complexity of digital images. We give new results on the relation between
reducibility and digital contractibility in order to determine the topological
complexity of a digitally connected finite digital image. We present all
possible cases of the topological complexity TC of a finite digital image in Z
and Z^2$. Finally, we determine the higher topological complexity TC_{n} of
finite irreducible digital images independently of the number of points for n >
1.

21
The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th