Fluctuations in percolation of sparse complex networks
arXiv:1703.05528 · doi:10.1103/PhysRevE.96.012302
Abstract
We study the role of fluctuations in percolation of sparse complex networks. To this end we consider two random correlated realizations of the initial damage of the nodes and we evaluate the fraction of nodes that are expected to remain in the giant component of the network in both cases or just in one case. Our framework includes a message-passing algorithm able to predict the fluctuations in a single network, and an analytic prediction of the expected fluctuations in ensembles of sparse networks. This approach is applied to real ecological and infrastructure networks and it is shown to characterize the expected fluctuations in their response to external damage.
(10 pages, 3 figures)
References in corpus (11)
- Critical phenomena in complex networks
- Reaction-diffusion processes and metapopulation models in heterogeneous networks
- A message passing approach for general epidemic models
- Percolation on sparse networks
- Percolation in real interdependent networks
- k-core (bootstrap) percolation on complex networks: Critical phenomena and nonlocal effects
- Network Controllability Is Determined by the Density of Low In-Degree and Out-Degree Nodes
- Redundant interdependencies boost the robustness of multilayer networks
- Epidemic spreading and bond percolation in multilayer networks
- Percolation in real multiplex networks
- Message-Passing Methods for Complex Contagions
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- Controlling the uncertain response of real multiplex networks to random damage
- Large-deviation properties of the largest biconnected component for random graphs
- Large deviation theory of percolation on multiplex networks
- Identifying vital nodes by Achlioptas process
- Large deviations of random walks on random graphs
- Smeared phase transitions in percolation on real complex networks
- Heterogeneous message passing for heterogeneous networks
- Dynamical fluctuations of random walks in higher-order networks
- Heterogeneity in Outcomes of Repeated Instances of Percolation Experiments
- On the accuracy of message-passing approaches to percolation in complex networks