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Updated: Jun 29, 2025

Modeling the Functional Network for Spatial Navigation in the Human Brain
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Network Higher-Order Structure Dismantling.

Peng Peng1, Tianlong Fan2, Linyuan Lü1,2

  • 1Institute of Fundamental and Frontier Studies, University of Electronic Science and Technology of China, Chengdu 611731, China.

Entropy (Basel, Switzerland)
|March 28, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces dismantling higher-order structures to paralyze networks. The novel Belief Propagation-guided Higher-order Dismantling (BPHD) algorithm efficiently disrupts network connectivity and higher-order structures.

Keywords:
complex networkshigher-order structure dismantlinghigher-order structures

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Area of Science:

  • Network Science
  • Complex Systems Analysis
  • Graph Theory

Background:

  • Higher-order structures are crucial for network meta-functions, functionality, and complex dynamics.
  • Dismantling these structures to achieve functional paralysis has been largely overlooked.
  • The diversity and unknown specifics of higher-order structures make individual targeting infeasible.

Purpose of the Study:

  • Introduce the concept of dismantling higher-order structures for complete network functional paralysis.
  • Develop a method to disrupt both network connectivity and all higher-order structures.
  • Address the challenge of targeting diverse and unspecified higher-order structures.

Main Methods:

  • Leverage the association between higher-order structures and k-cores due to high internal connectivity.
  • Transform higher-order structure measurement into k-core measurements.
  • Propose the Belief Propagation-guided Higher-order Dismantling (BPHD) algorithm to minimize costs and maximize disruption.

Main Results:

  • The BPHD algorithm effectively dismantles higher-order structures, converting networks into forests.
  • Demonstrated the explosive vulnerability of network higher-order structures.
  • Observed counterintuitive decreasing dismantling costs with increasing structural complexity.

Conclusions:

  • The BPHD algorithm provides a novel approach for dismantling malignant networks.
  • Safeguarding against malicious attacks targeting higher-order structures presents substantial challenges.
  • This work highlights the critical need to understand and defend against higher-order structure manipulation.