Breakdown of interdependent directed networks

Proceedings of the National Academy of Sciences of the United States of America
Xueming LiuJianxi Gao

Abstract

Increasing evidence shows that real-world systems interact with one another via dependency connectivities. Failing connectivities are the mechanism behind the breakdown of interacting complex systems, e.g., blackouts caused by the interdependence of power grids and communication networks. Previous research analyzing the robustness of interdependent networks has been limited to undirected networks. However, most real-world networks are directed, their in-degrees and out-degrees may be correlated, and they are often coupled to one another as interdependent directed networks. To understand the breakdown and robustness of interdependent directed networks, we develop a theoretical framework based on generating functions and percolation theory. We find that for interdependent Erdős-Rényi networks the directionality within each network increases their vulnerability and exhibits hybrid phase transitions. We also find that the percolation behavior of interdependent directed scale-free networks with and without degree correlations is so complex that two criteria are needed to quantify and compare their robustness: the percolation threshold and the integrated size of the giant component during an entire attack process. Interestingly, we f...Continue Reading

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Citations

Dec 10, 2016·Scientific Reports·Xianglong TangXingxing Hao
Aug 8, 2019·Journal of the Royal Society, Interface·Shangjia DongJianxi Gao
Sep 22, 2018·Briefings in Bioinformatics·Min LiFang-Xiang Wu
Oct 19, 2019·Proceedings of the National Academy of Sciences of the United States of America·Dongli DuanStefano Boccaletti
May 14, 2016·Physical Review. E·Dunbiao NiuYanqing Hu
Oct 12, 2019·Scientific Reports·Jie LiYamir Moreno
Aug 12, 2020·Scientific Reports·Chao-Yang ChenHarry Eugene Stanley
Feb 20, 2019·Physical Review. E·Xueming LiuJianxi Gao
Apr 14, 2017·Journal of the Royal Society, Interface·Yanyan Xu, Marta C González
May 17, 2017·Physical Review. E·Xueming LiuJianxi Gao
Nov 29, 2020·Nature Communications·Xueming LiuAmitabh Sharma
Jan 15, 2021·Scientific Reports·Tarun Mahajan, Roy D Dar

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