Effect of leaf nodes on synchronizability of complex networks
Xiaojuan Ma, Yan Wang, Zheng Zhi-Gang, 北京师范大学物理系，北京 100875 · Acta Physica Sinica · 2009
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 synchronizable. Both numerical and theoretical results are given in the paper.