Rewiring dynamical networks with prescribed degree distribution for enhancing synchronizability.
Majid Dadashi1, Iman Barjasteh, Mahdi Jalili
1Department of Computer Engineering, Sharif University of Technology, Tehran 11365-8639, Iran.
Chaos (Woodbury, N.Y.)
|January 5, 2011
Summary
This study introduces a novel algorithm to improve network synchronizability while preserving the degree distribution. Numerical simulations confirm its effectiveness across various network types, offering enhanced synchronization properties.
Area of Science:
- Network Science
- Graph Theory
- Dynamical Systems
Background:
- Network synchronizability is crucial for complex system function.
- Preserving degree distribution during network modifications is a key challenge.
- Laplacian eigenvalues and eigenvectors offer insights into network dynamics.
Purpose of the Study:
- To develop an algorithm for enhancing network synchronizability.
- To ensure the algorithm maintains the original node-degree distribution.
- To analyze the impact of rewiring on network structural parameters.
Main Methods:
- An algorithm utilizing Laplacian eigenvectors for edge rewiring is proposed.
- The method preserves the node-degree distribution of the input network.
- Eigenvalues and eigenvectors are computed using standard algorithms for implementation.
Main Results:
- The algorithm successfully enhances synchronizability in dynamical networks.
- Effectiveness demonstrated on scale-free, Watts-Strogatz, and Erdős-Rényi graphs.
- Structural parameters like centrality and clustering coefficient are analyzed post-optimization.
Conclusions:
- The proposed algorithm effectively improves network synchronizability.
- It offers a method to tune network dynamics without altering degree distribution.
- The approach is scalable and applicable to diverse network structures.
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