  In the present article, numerical simulations have been performed to find the
bond and site percolation thresholds on two-dimensional Gabriel graphs (GG) for
Poisson point processes. GGs belong to the family of proximity graphs and are
discussed, e.g., in context of the construction of backbones for wireless
ad-hoc networks. In order to find the critical points, finite-size scaling
analyses have been performed for several observables. The critical exponents
obtained this way verify that the associated universality class is that of
standard $2D$ percolation.
