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Relationship Between Structural Characters and Synchronizability of Scale-free Networks

Jian-Guo Liu·Yan-Zhong Dang·Qiang Guo·Zhong-Tuo Wang
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Abstract

Using Memory Tabu Search(MTS) algorithm, we investigate the relationship between structural characters and synchronizability of scale-free networks by maximizing and minimizing the ratio $Q$ of the eigenvalues of the coupling matrix by edge-intercrossing procedures. The numerical results indicate that clustering coefficient $C$, maximal betweenness $B_{max}$ are two most important factors to scale-free network synchronizability, and assortative coefficient $r$ and average distance $D$ are the secondary ones. Moreover, the average degree $ $ affects the relationship between above structural characters and synchronizability of scale-free networks, and the minimal $Q$ decreases when $ $ increases.

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Jian-Guo Liu, Yan-Zhong Dang, Qiang Guo, Zhong-Tuo Wang. 2006-06-09. Relationship Between Structural Characters and Synchronizability of Scale-free Networks. https://arxiv.org/abs/physics/0606088

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