Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splittings of independence complexes and the powers of cycles   We use two cofibre sequences to identify some combinatorial situations when
the independence complex of a graph splits into a wedge sum of smaller
independence complexes. Our main application is to give a recursive relation
for the homotopy types of the independence complexes of powers of cycles, which
answers an open question of D. Kozlov.

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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph