Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An infinite family of subcubic graphs with unbounded packing chromatic
  number   Recently, Balogh, Kostochka and Liu in [Packing chromatic number of cubic
graphs, Discrete Math.~341 (2018) 474--483] answered in negative the question
that was posed in several earlier papers whether the packing chromatic number
is bounded in the class of graphs with maximum degree $3$. In this note, we
present an explicit infinite family of subcubic graphs with unbounded packing
chromatic number.

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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph