numerically investigated robustness of cooperation by introducing an attack probability, with which an individual in cooperation …

Robustness of weighted complex networks is analyzed from nonlinear dynamical point of view and with focus on different … robustness analysis. We also find that with random inactivation, heterogeneous networks are always more robust than the … integrated picture for the dynamical robustness analysis on complex networks. …

, the impact of the topology on grid robustness is mainly assessed by purely topological approaches, that fail to capture … of a power grid to its robustness against cascading failures by deliberate attacks, while also taking the fundamental … verification on synthetic power systems shows that the proposed metric reflects the grid robustness accurately. The proposed metric …

In this paper the robustness of network synchronizability against random deletion of nodes, i.e. errors, in dynamical … Laplacian and the order parameter quantifying the degree of phase synchrony were adopted, and the synchronizability robustness …, the robustness of its synchronizability against random removal of nodes declines, i.e. the more the number of randomly …

In this paper we study the robustness of heterogeneous preferential attachment networks. The robustness of a network … affinity parameters on a set of ensemble-averaged robustness metrics. We show that the presence of heterogeneity does not … translates into slight improvements in the robustness metrics, which prompts us to conjecture an evolutionary argument for the …

An important property of networked systems is their robustness against removal of network nodes, through either random … optimal robustness according to a given measure, one is often instead faced with an existing network that cannot feasibly be … substantially modified or redesigned, yet whose robustness can be improved by a lesser degree of modification. We present empirical …

parameters. For the new models, we demonstrate the robustness and fragility of synchronization against random and specific … has robustness and fragility against random failures and specifical removal of the nodes, respectively. In particular … synchronizability and robustness compared to the addition of nodes. …

transitions in its robustness. Three spectral graph metrics are considered: spectral radius, effective graph resistance and …

the robustness and fragility of the proposed network model against random failures and attacks also display a transition … model can maintain the robustness of scale-free networks and can improve the network reliance against intentional attacks. …

We introduce two new measures of network robustness and apply them to four different strategies. The measures are … varying robustness to demonstrate the measures. We also demonstrate how to employ the measures in order to improve the … robustness of the networks by adding one new link. We further indicate that the measures are able to identify the infrequently …