Research Article

Robustness Analysis of the Regional and Interregional Components of the Weighted World Air Transportation Network

Table 7

Evolution of the weighted efficiency and the LCC of the large local components after their isolation due to attacks based on weighted PageRank. We also report the order of isolation of the components. ωi is the weighted efficiency before the attack based on PageRank. ω is the weighted efficiency after the separation. λ is the largest connected component size after the split. ρ is the fraction of top PageRank nodes removed from the world air transportation network to isolate the component. γ is the order in which the components are isolated. Isolating the components reduces their efficiency significantly.

Componentsωiω (%)λ (%)ρ (%)γ

North America-Caribbean57.4212.5521.8520.48.41
Europe-Russia26.41.86717.813.44
East and Southeast Asia-Oceania31.3113.5143.1410.47123
Africa-Middle East-India18.55.1928613.44
South America2318.9582.414.49.72