Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Erd\H{o}s-P\'osa property for labelled minors: 2-connected minors   In the 1960s, Erd\H{o}s and P\'osa proved that there is a packing-covering
duality for cycles in graphs. As part of the graph minor project, Robertson and
Seymour greatly extended this: there is such a duality for $H$-expansions in
graphs if and only if $H$ is a planar graph (this includes the previous result
for $H=K_3$). We consider vertex labelled graphs and minors and provide such a
characterisation for $2$-connected labelled graphs $H$.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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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: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: acc-phys