Before revision:  In particular, we determine the probability distribution of robustness over system connectivity and show that robustness is maximized by maximizing the number of links between strongly connected components of the graph representing the underlying system connectivity. We demonstrate that this can be understood in terms of the fact that permutation of strongly connected components is a fundamental symmetry of dynamical robustness , which applies to networks of any number of components and is independent of the distribution from which the strengths of interconnection among components are sampled.
After revision:  In particular, we determine the probability distribution of robustness over system connectivity and show that robustness is maximized by maximizing the number of links between modules of the network. We also demonstrate that permutation of these modules is a fundamental symmetry of dynamical robustness , which applies to networks of any number of components and is independent of the distribution from which the strengths of interconnection among components are sampled.