Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trees with given degree sequences that have minimal subtrees   In this paper, we investigate the structures of an extremal tree which has
the minimal number of subtrees in the set of all trees with the given degree
sequence of a tree. In particular, the extremal trees must be caterpillar and
but in general not unique. Moreover, all extremal trees with a given degree
sequence $\pi=(d_1, ..., d_5, 1,..., 1)$ have been characterized.

32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int