Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a conjecture of Gentner and Rautenbach   Gentner and Rautenbach conjectured that the size of a minimum zero forcing
set in a connected graph on $n$ vertices with maximum degree $3$ is at most
$\frac{1}{3}n+2$. We disprove this conjecture by constructing a collection of
connected graphs $\{G_n\}$ with maximum degree 3 of arbitrarily large order
having zero forcing number at least $\frac{4}{9}|V(G_n)|$.

1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph