Robustness of interdependent higher-order networks

作者全名："Lai, Yuhang; Liu, Ying; Zheng, Kexian; Wang, Wei"

作者地址："[Lai, Yuhang; Liu, Ying; Zheng, Kexian] Southwest Petr Univ, Sch Comp Sci, Chengdu 610500, Peoples R China; [Liu, Ying] Univ Fribourg, Dept Phys, CH-1700 Fribourg, Switzerland; [Wang, Wei] Chongqing Med Univ, Sch Publ Hlth & Management, Chongqing 400016, Peoples R China"

通信作者："Liu, Y (通讯作者)，Southwest Petr Univ, Sch Comp Sci, Chengdu 610500, Peoples R China.; Liu, Y (通讯作者)，Univ Fribourg, Dept Phys, CH-1700 Fribourg, Switzerland."

来源：CHAOS

ESI学科分类：PHYSICS

WOS号：WOS:001027272100004

JCR分区：Q1

影响因子：2.7

年份：2023

卷号：33

期号：7

开始页：　

结束页：　

文献类型：Article

关键词：　

摘要："In real complex systems, interactions occur not only between a pair of nodes, but also in groups of three or more nodes, which can be abstracted as higher-order structures in the networks. The simplicial complex is one of a model to represent systems with both low-order and higher-order structures. In this paper, we study the robustness of interdependent simplicial complexes under random attacks, where the complementary effects of the higher-order structure are introduced. When a higher-order node in a 2-simplex fails, its dependent node in the other layer survives with a certain probability due to the complementary effects from the 2-simplex. By using the percolation method, we derive the percolation threshold and the size of the giant component when the cascading failure reaches its steady state. The simulation results agree well with analytical predictions. We find that the type of phase transition changes from the first-order to the second-order when the complementary effect of the higher-order structure on the dependent node increases or the number of 2-simplices in the interdependent simplicial complex increases. While the interlayer coupling strength increases, the type of phase transition changes from the second-order to the first-order. In particular, even if the higher-order interactions do not provide complementary effects for dependent nodes, the robustness of the interdependent heterogeneous simplicial complex is higher than that of the ordinary interdependent network with the same average degree due to the existence of 2-simplices in the system. This study furthers our understanding in the robustness of interdependent higher-order networks."

基金机构："National Natural Science Foundation of China (NNSFC) [61802321, 61903266]; Science and Technology Program of Sichuan Province [2020YJ0125, 2020YJ0048]"

基金资助正文：ACKNOWLEDGMENTS This work was supported by the National Natural Science Foundation of China (NNSFC) (Nos. 61802321 and 61903266) and Science and Technology Program of Sichuan Province (Nos. 2020YJ0125 and 2020YJ0048).