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Research on the robustness of multi-layer interdependent networks based on edge-preserving strategies

Author

Listed:
  • Xie, Yufeng
  • Shu, Chang
  • Liu, Shirong
  • Sun, Shiwen
  • Wang, Jing
  • Ye, Pei
  • Yan, Yadong

Abstract

Previous studies on cascade failures in interdependent networks have primarily focused on nodes. However, in real-world scenarios, interactions between networks are established through connecting edges rather than the nodes themselves, leading to the concept of edge-coupled interdependent networks (EIN). In this paper, we extend the model to multilayer edge-coupled interdependent networks (MEIN) by reinforcing a fraction m of the connecting edges. We analyze the phase transition behavior in these reinforced networks. The reinforcement of a subset of edges is shown to lower the critical threshold and alter the nature of the phase transition from first-order to mixed. Our results demonstrate that strategically enhancing a certain proportion of interconnecting edges can significantly improve the robustness of multilayer edge-coupled interdependent networks.

Suggested Citation

  • Xie, Yufeng & Shu, Chang & Liu, Shirong & Sun, Shiwen & Wang, Jing & Ye, Pei & Yan, Yadong, 2026. "Research on the robustness of multi-layer interdependent networks based on edge-preserving strategies," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:chsofr:v:205:y:2026:i:c:s0960077925018624
    DOI: 10.1016/j.chaos.2025.117848
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