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Published on: November 1, 2019
Spectral perturbation and reconstructability of complex networks
1Delft University of Technology, Delft, The Netherlands.
Summary
Researchers developed a new method to measure network robustness using a reconstructability coefficient. This coefficient, theta, shows a universal linear scaling law (E[theta]=aN) across studied complex networks, offering a general evaluation approach.
Area of Science:
- Complex networks analysis
- Network robustness evaluation
- Graph theory
Background:
- Network perturbation techniques like topological and service perturbations are used to study complex network robustness.
- Current methods lack a general approach for evaluating network robustness.
Purpose of the Study:
- To propose a novel global measure for network robustness.
- To introduce the reconstructability coefficient (theta) for evaluating network resilience.
Main Methods:
- Defining the reconstructability coefficient (theta) as the maximum number of eigenvalues removable while exactly reconstructing the adjacency matrix.
- Empirically testing the proposed measure across various network types.
Main Results:
- A universal linear scaling law, E[theta]=aN, was identified for the reconstructability coefficient.
- This scaling law appears consistent across all studied network types.
Conclusions:
- The reconstructability coefficient (theta) provides a general and effective measure for network robustness.
- The identified linear scaling law suggests a fundamental property of complex networks regarding their resilience.
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