Before revision:  While the distribution of links in the dependency network of this system is scale-free for the intermediate nodes, the richest nodes  deviate from this trend, and exhibit a nonlinearity-induced saturation effect.
After revision:  While the distribution of links in the dependency network of this system is scale-free for the intermediate nodes, the richest nodes , as well as the weakest nodes, deviate from this trend, and exhibit a nonlinearity-induced saturation effect.