Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Number of Subtrees of Trees with Given Degree Sequence   This paper investigates some properties of the number of subtrees of a tree
with given degree sequence. These results are used to characterize trees with
the given degree sequence that have the largest number of subtrees, which
generalizes the recent results of Kirk and Wang. These trees coincide with
those which were proven by Wang and independently Zhang et al. to minimize the
Wiener index. We also provide a partial ordering of the extremal trees with
different degree sequences, some extremal results follow as corollaries.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph