Many structure parameters have been suggested to predict the synchronizability of complex networks. They were qualitatively suitable for certain networks but failed for others. Based on the coupled oscillator model, we find that the homogeneity of load distribution determines the synchronizability of complex networks, and the standard deviation of edge betweenness centrality is coincident with synchronizability for various complex networks. These results suggest that in order for a network to hence to synchronize more effectively, the load distribution must be more homogeneous.

中文翻译：

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负载分布的同质性在复杂网络的全局同步性中起着关键作用

已经提出了许多结构参数来预测复杂网络的同步性。它们在质量上适用于某些网络，但不适用于其他网络。基于耦合振子模型，我们发现负载分布的均匀性决定了复杂网络的同步性，边缘介数中心性的标准差与各种复杂网络的同步性一致。这些结果表明，为了使网络更有效地同步，负载分布必须更加均匀。