Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Treelike snarks   We study snarks whose edges cannot be covered by fewer than five perfect
matchings. Esperet and Mazzuoccolo found an infinite family of such snarks,
generalising an example provided by Hagglund. We construct another infinite
family, arising from a generalisation in a different direction. The proof that
this family has the requested property is computer-assisted. In addition, we
prove that the snarks from this family (we call them treelike snarks) have
circular flow number five and admit a 5-cycle double cover.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio