Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic starlike trees   In this paper, we introduce the notion of the quadratic graph, that is a
graph whose eigenvalues are integral or quadratic algebraic integral, and
determine nine infinite families of quadratic starlike trees, which are just
all the quadratic starlike trees including integral starlike trees. Thus the
quadratic starlike trees are completely characterized, and moreover, the
display expressions for the characteristic polynomials of the quadratic
starlike trees are also given.

6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat