Robustness of higher-order interdependent networks

作者全名："Peng, Hao; Zhao, Yifan; Zhao, Dandan; Zhong, Ming; Hu, Zhaolong; Han, Jianming; Li, Runchao; Wang, Wei"

作者地址："[Peng, Hao; Zhao, Yifan; Zhao, Dandan; Zhong, Ming; Hu, Zhaolong; Han, Jianming; Li, Runchao] Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China; [Wang, Wei] Chongqing Med Univ, Sch Publ Hlth, Chongqing 400016, Peoples R China"

通信作者："Wang, W (通讯作者)，Chongqing Med Univ, Sch Publ Hlth, Chongqing 400016, Peoples R China."

来源：CHAOS SOLITONS & FRACTALS

ESI学科分类：PHYSICS

WOS号：WOS:001002427900001

JCR分区：Q1

影响因子：5.3

年份：2023

卷号：171

期号：　

开始页：　

结束页：　

文献类型：Article

关键词：Partially interdependent networks; Simplicial complexes; Percolation theory

摘要："In recent years, the research of multilayer interdependent networks has become a hotspot in complex networks. However, most of the study is limited to describing pairwise interactions. The systems in the real world are usually networks with higher-order interactions consisting of three or more units, such as epidemic transmission and cooperative communication networks. To better reflect the complex networks in the real world, this paper introduces the higher-order structures in the network, that is, simplicial complexes. In this paper, we construct a theoretical model of a two-layer partial dependence network with simplicial complexes in which failures between nodes occur through the synergistic effects of pairwise and higher-order interactions. In this model, removing a node will cause all other nodes in the same simplex to be removed, and due to the dependency between the two networks, the failure of the node will spread through dependency links between the two networks. This process will occur recursively and eventually lead to the cascading process. We introduce percolation theory to study the robustness of the network and give the theoretical solutions of different properties of the network, such as the size of the mutually connected giant component (MCGC), percolation threshold, etc. We find that the density of the triangle and the dependent strength between the two networks affect the percolation behaviours of the network together. When the density of the triangle exceeds a certain value, the network shows a double transition."

基金机构："National Natural Science Foundation of China [62072412, 61902359, 61702148, 61672468]; Opening Project of Shanghai Key Laboratory of Integrated Administration Technologies for Information Security [AGK-2018001]; Key Lab of Information Network Security, China, Ministry of Public Security, China [C20607]; Natural Science Foundation of Chongqing, China [cstc2021jcyj-msxmX0132]; Program for Youth Innovation in Future Medicine, Chongqing Medical University, China [W0150]"

基金资助正文："This study was partly supported by the National Natural Science Foundation of China under grant nos. 62072412, 61902359, 61702148, and 61672468, the Opening Project of Shanghai Key Laboratory of Integrated Administration Technologies for Information Security under grant no. AGK-2018001, the Key Lab of Information Network Security, China, Ministry of Public Security, China, under grant no. C20607 and the Natural Science Foundation of Chongqing, China, No. cstc2021jcyj-msxmX0132. Program for Youth Innovation in Future Medicine, Chongqing Medical University, China, No. W0150."