Stability of a Giant Connected Component in a Complex Network

Abstract

We analyze the stability of the network's giant connected component under impact of adverse events, which we model through the link percolation. Specifically, we quantify the extent to which the largest connected component of a network consists of the same nodes, regardless of the specific set of deactivated links. Our results are intuitive in the case of single-layered systems: the presence of large degree nodes in a single-layered network ensures both its robustness and stability. In contrast, we find that interdependent networks that are robust to adverse events have unstable connected components. Our results bring novel insights to the design of resilient network topologies and the reinforcement of existing networked systems.

References in corpus (5)

• The structure and dynamics of multilayer networks
• Strongly discontinuous explosive percolation with multiple giant components
• Tight lower bound for percolation threshold on a quasi-regular graph
• Assessing node risk and vulnerability in epidemics on networks
• Phase Transition with Non-Thermodynamic States in Reversible Polymerization