叶子节点对于网络同步能力影响的研究

Effect of leaf nodes on synchronizability of complex networks

系统考察了叶子节点对于网络同步能力的影响,发现随着叶子节点比例的增加,网络的同步能力下降,同时给出了数值结果以及理论解释.

The synchronizability of the complex network has aroused much interest during the past years. But most studies pay little attention to the leaf nodes （whose degree equals 1）, which do exist in the real networks. In this paper, we study the influence of leaf nodes on the synchronizability of the whole network systematically and find that as the proportion of the leaf nodes increases, the network becomes less synchrenizable. Both numerical and theoretical results are given in the paper.