Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tricyclic graphs with exactly two main eigenvalues   An eigenvalue of a graph $G$ is called a main eigenvalue if it has an
eigenvector the sum of whose entries is not equal to zero. In this paper, all
connected tricyclic graphs with exactly two main eigenvalues are determined.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph