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Asymmetric interdependent networks with multiple-dependence relation.

Hang Zhang1, Jie Zhou1,2, Yong Zou1

  • 1School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China.

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|March 15, 2020
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Summary
This summary is machine-generated.

We investigated interdependent networks with multiple-dependence (MD) relations, finding that asymmetric network structures influence phase transitions. This research offers insights into network robustness and critical points.

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Area of Science:

  • Network Science
  • Statistical Physics
  • Complex Systems

Background:

  • Interdependent networks are crucial in modern infrastructure.
  • Understanding their robustness against cascading failures is vital.
  • Multiple-dependence (MD) relations introduce complex failure dynamics.

Purpose of the Study:

  • To analyze the robustness of interdependent networks with MD relations.
  • To propose and investigate an asymmetric interdependent network (AIN) model.
  • To understand the impact of network asymmetry on phase transitions and robustness.

Main Methods:

  • Development of a two-layered asymmetric interdependent network (AIN) model.
  • Analysis of phase transitions (discontinuous and hybrid) using heuristic theory.
  • Application of a message-passing approach to understand network structure.
  • Investigation of the correlation between intralayer and interlayer degrees.

Main Results:

  • The MD layer exhibits both discontinuous and hybrid phase transitions.
  • The other layer shows only discontinuous phase transitions.
  • A heuristic theory explains structural features and the emergence of a tricritical point.
  • Correlation between degrees impacts continuous but not discontinuous phase transitions.

Conclusions:

  • Asymmetric interdependent networks display distinct phase transition behaviors.
  • The proposed AIN model provides a framework for studying network robustness.
  • Network structure and degree correlations significantly influence failure dynamics and robustness.