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. 2019 Jul 23;9:10692. doi: 10.1038/s41598-019-47119-2

Figure 6.

Figure 6

The real-world complex networks robustness of the efficiency functioning (Eff) decrease with link weights heterogeneity. The robustness of the efficiency Eff and total flow TF of the system functioning under nodes and links removal strategies. We randomly assigned the weight of the links over the real-world topological structure of the networks under exam. Link weights are sorted from 2 values distribution (1, Wmax); the upper limit Wmax ranges in (1, 105) and for each Wmax value we performed 104 simulations. For sake of example we depict the outcomes from the Cargo ship and the E. coli network. Left column: Cargo ship network under nodes removal strategies; Right column: E. Coli network under links removal strategies. In the bottom figure we exemplify the discovery outcomes: the robustness of the efficiency (REff) is negatively correlated with the heterogeneity of link weights, i.e. increasing the variance in the weight of the links, the real-world complex network become more vulnerable to nodes-links removal, both selective and random.