Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simply Generated Unrooted Plane Trees   We study random unrooted plane trees with $n$ vertices sampled according to
the weights corresponding to the vertex-degrees. Our main result shows that if
the generating series of the weights has positive radius of convergence, then
this model of random trees may be approximated geometrically by a
Galton--Watson tree conditioned on having a large random size.
  This implies that a variety of results for the well-studied planted case also
hold for unrooted trees, including Gromov--Hausdorff--Prokhorov scaling limits,
tail-bounds for the diameter, distributional graph limits, and limits for the
maximum degree. Our work complements results by Wang~(2016), who studied random
unrooted plane trees whose diameter tends to infinity.

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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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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: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: bayes-an