  The Constrained-degree percolation model was introduced in [B.N.B. de Lima,
R. Sanchis, D.C. dos Santos, V. Sidoravicius, and R. Teodoro, Stoch. Process.
Appl. (2020)], where it was proven that this model has a non-trivial phase
transition on a square lattice. We study the Constrained-degree percolation
model on the $d$-dimensional hypercubic lattice ($\mathbb{Z}^d$) and, via
numerical simulations, found evidence that the critical time $t_{c}^{d}(k)$ is
monotonous not increasing in the constrained $k$ if $d=3,4$, like it is when
$d=2$. We verify that the lowest constrained value $k$ such that the system
exhibits a phase transition is $k=3$ and that the correlation critical exponent
$\nu$ for the Constrained-degree percolation model and ordinary Bernoulli
percolation are the same.
