Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the domination polynomials of cactus chains   Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is
the polynomial $D(G, x)=\sum_{i=\gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is
the number of dominating sets of $G$ of size $i$ and $\gamma(G)$ is the
domination number of $G$. In this paper we consider cactus chains with
triangular and square blocks and study their domination polynomials.

9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
18
The categories of this paper are: econ