Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splittable and unsplittable graphs and configurations   We prove that there exist infinitely many splittable and also infinitely many
unsplittable cyclic $(n_3)$ configurations. We also present a complete study of
trivalent cyclic Haar graphs on at most 60 vertices with respect to
splittability. Finally, we show that all cyclic flag-transitive configurations
with the exception of the Fano plane and the M\"obius-Kantor configuration are
splittable.

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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc