Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clique complexes and graph powers   We study the behaviour of clique complexes of graphs under the operation of
taking graph powers. As an example we compute the clique complexes of powers of
cycles, or, in other words, the independence complexes of circular complete
graphs.

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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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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: math-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin