ENHANCING THE SYNCHRONIZABILITY OF SCALE-FREE NETWORKS BY ADDING EDGES

Author:

WANG SHENG-JUN12,WU ZHI-XI13,DONG HAI-RONG4,CHEN GUANRONG15

Affiliation:

1. Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China

2. Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China

3. Department of Physics, Umeå University, 90187 Umeå, Sweden

4. College of Electrical and Information Engineering, Beijing Jiao Tong University, Beijing 100044, China

5. College of Engineering, Peking University, Beijing 100871, China

Abstract

To efficiently enhance the synchronizability of a scale-free network by adding some edges, we numerically study the effect of edge-adding on the spectrum of the network Laplacian matrix. Based on the relation between the largest eigenvalue of the Laplacian matrix and the largest degree of the scale-free network, we show that adding a new edge to the node of largest degree will generally weaken the synchronizability of a scale-free network. We consequently propose a method to effectively enhance the network synchronizability by attaching the new edge to a node whose nearest-neighbors have small degrees. The effect of the new method is analyzed and demonstrated with comparisons.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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