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k-core percolation on complex networks: Comparing random, localized, and targeted attacks.

Xin Yuan1, Yang Dai2, H Eugene Stanley1

  • 1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Physical Review. E
|July 15, 2016
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This summary is machine-generated.

Network stability under k-core percolation differs by attack type. Targeted attacks (TA) cause the most damage, while localized attacks (LA) severely impact scale-free networks more than random attacks (RA).

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Area of Science:

  • Network science
  • Complex systems analysis
  • Cybersecurity

Background:

  • Network stability is crucial for system functionality.
  • Ordinary percolation models node failure upon disconnection from the main component.
  • K-core percolation generalizes this, where nodes fail if they lose k neighbors.

Purpose of the Study:

  • To analyze and compare network stability under different malicious attack types using k-core percolation.
  • To investigate the impact of random attacks (RA), localized attacks (LA), and targeted attacks (TA) on network core structures.
  • To understand these dynamics in both single and interdependent networks.

Main Methods:

  • Analytical modeling of k-core percolation.
  • Numerical simulations of k-core percolation under RA, LA, and TA.
  • Mapping networks under LA or TA to equivalent networks under RA.

Main Results:

  • Targeted attacks (TA) inflict the greatest damage on network core structures in both single and interdependent networks.
  • For Erdős-Rényi (ER) networks, localized attacks (LA) and random attacks (RA) have equal impact.
  • Localized attacks (LA) significantly damage scale-free (SF) networks more than random attacks (RA).

Conclusions:

  • The type of malicious attack critically determines network stability under k-core percolation.
  • Network topology (ER vs. SF) influences the relative damage caused by different attack strategies.
  • Understanding these attack dynamics is vital for designing resilient network infrastructures.