Detecting the significant nodes in two-layer flow networks: an interlayer non-failure cascading effect perspective
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Detecting the significant nodes in multilayer networks is crucial for preventing the large-scale spread of disaster events. However, the existing model can hardly simulate the ubiquitous non-failure cascading effect process in social and economic systems. To solve this problem, first, we propose a mathematical method of constructing a two-layer network model. Then we define the non-failure cascading effect process in the two-layer network. Based on the model and spreading process, we propose a non-failure cascading effect index by using each node’s non-failure cascading affecting in uential degree on the two-layer network. We then applied the detecting model in theoretical two-layer networks. We find there exist significant nodes, and also exist several in uential factors of the interlayer cascading effect process. The detecting model is applied in the two-layer industrial input-output networks between the U.S. and China for testing the validity of the theoretical model. The hybrid network combination is relatively more sensitive to in uential factors; the significant nodes are more prominent in scale-free networks. Our research provides a solution for finding the significant nodes in two-layer social or economic networks based on the non-failure cascading effect process.
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- 21.B. Podobnik, D. Horvatic, T. Lipic, M. Perc, J.M. Buldu, H.E. Stanley, J.R. Soc, Interface 12, 20150770 (2015)Google Scholar