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Percolation behavior analysis on multilayer edge-coupled Scale-Free interdependent networks

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  • Xie, Yufeng
  • Sun, Shiwen
  • Huang, Yulan
  • Wang, Jing
  • Ye, Pei

Abstract

In recent years, the robustness of edge-coupled interdependent networks has been investigated and has attracted much attention from researchers in different fields. Currently, most research on edge-coupled interdependent networks focuses on two-layer systems with simpler RR or ER topologies. However, studies on multilayer edge-coupled interdependent Scale-Free networks are scarce. In this paper, we propose a multilayer edge-coupled interdependent SF network model and study the cascading fault propagation mechanism caused by attacking a small number of edges. The effect of coupling strength on the robustness of multilayer edge-coupled interdependent Scale-Free networks is also considered. Based on the fact that self-consistent probability theory can greatly simplify the mathematical analysis of such systems, the paper provides a theoretical analysis of the phase transition behavior. The research results help to deepen the understanding of the robustness of multilayer Scale-Free interdependent networks and provide some valuable suggestions for the protection and improvement of complex network systems.

Suggested Citation

  • Xie, Yufeng & Sun, Shiwen & Huang, Yulan & Wang, Jing & Ye, Pei, 2025. "Percolation behavior analysis on multilayer edge-coupled Scale-Free interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:chsofr:v:195:y:2025:i:c:s0960077925003248
    DOI: 10.1016/j.chaos.2025.116311
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