The void size function at the different steps of the cleaning procedure. The blue dots show the distribution of voids detected by VIDE from a ΛCDM N-body simulation. The green triangles are obtained by applying both the r_min−r_max criterion and the central density criterion (first step). The red upside-down triangles show the void distribution after having rescaled the voids (second step), while the orange squares are the final output of the cleaning algorithm in case the larger-favoured overlapping criterion chosen (third step) is the decreasing central density (for the density contrast criterion see Fig. D.1). The black line shows the Vdn model prediction.