Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cayley graphs on groups with commutator subgroup of order 2p are
  hamiltonian   We show that if G is a finite group whose commutator subgroup [G,G] has order
2p, where p is an odd prime, then every connected Cayley graph on G has a
hamiltonian cycle.

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
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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: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys