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Percolation on networks with conditional dependence group.

Hui Wang1, Ming Li2, Lin Deng3

  • 1School of Computer and Information/Hefei University of Technology, Hefei, Anhui Province, 230009, P.R. China; Department of Modern Physics/University of Science and Technology of China, Hefei, Anhui Province, 230026, P.R. China; Information Construction and Development Center/Hefei University of Technology, Hefei, Anhui Province, 230009, P.R. China; Center of Information Support and Assurance Technology, Anhui University, Hefei, Anhui Province, 230601, P.R. China.

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Summary
This summary is machine-generated.

This study introduces a new model for network robustness, finding that networks become more resilient as a larger fraction of nodes must fail within a dependence group. Larger groups do not necessarily increase network fragility.

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Area of Science:

  • Complex networks
  • Network science
  • Statistical physics

Background:

  • Interdependent networks are vulnerable to cascading failures.
  • Existing models assume a single node failure can collapse a dependence group.

Purpose of the Study:

  • To investigate network robustness under a more realistic cascading failure model.
  • To analyze the impact of a node failure fraction (β) and dependence group size on network resilience.

Main Methods:

  • Developed a cascading failure model where a dependence group fails only when a fraction β of its nodes fail.
  • Derived exact solutions for the giant component size and critical point.
  • Performed simulations to validate theoretical findings.

Main Results:

  • Network robustness increases with the parameter β.
  • Percolation transition remains first order, except in the classical network percolation limit.
  • Larger dependence group sizes do not invariably lead to increased network fragility.

Conclusions:

  • The proposed model offers a more nuanced understanding of cascading failures in interdependent networks.
  • The parameter β significantly influences network robustness and transition dynamics.
  • Network fragility is not solely determined by dependence group size.