| Does the eigenratio synchronizability of λ2/λN represent the a complex network？ |
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| 引用本文： | 段志生,陈关荣.Does the eigenratio synchronizability of λ2/λN represent the a complex network？[J].中国物理 B,2012(8):103-107. |
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| 作者姓名： | 段志生 陈关荣 |
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| 作者单位： | [1]State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China [2]Department of Electronic Engineering, City University of Hong Kong, Hong Kong, SAR, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant Nos. 60974078 and 10832006）. |
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| 摘 要： | In the study of complex networks, it is commonly believed that the eigenratio λ2/λN of the Laplacian matrix of a network represents the network synchronizability, especially for symmetric networks. This paper gives two counterexamples to show that this is not true for the case where the network has a disconnected synchronized region. Consequently, a simple answer is presented to the question of when the eigenratio λ2/λN does represent the network synchronizability.
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| 关 键 词： | 复杂网络 网络同步 能力 拉普拉斯算子 矩阵表示 对称网络 反例 |
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