利用方向性增强复杂网络中的同步
Enhancing synchronization by directionality in complex networks
摘要：
我们提出了一种称为剩余边缘介数梯度（REBG）的方法，通过分配链路方向，同时保持网络拓扑结构和链路权重不变，以提高网络的同步性。方向分配已被证明可以提高一般无向网络的同步性，但我们发现，在某些情况下，不可通信的组件出现和网络无法同步。我们发现REBG方法可以有效地避免同步失败（$R=λ_{2}^{r}/λ_{N}^{r}=0$）发生在剩余度梯度（RDG）方法中提出的物理。103，228702（2009）中所述。进一步的实验表明，REBG方法在具有社团结构的网络中比RDG方法提高了同步性。
英文摘要：
We proposed a method called residual edge-betweenness gradient (REBG) to enhance synchronizability of networks by assignment of link direction while keeping network topology and link weight unchanged. Direction assignment has been shown to improve the synchronizability of undirected networks in general, but we find that in some cases incommunicable components emerge and networks fail to synchronize. We show that the REBG method can effectively avoid the synchronization failure ($R=λ_{2}^{r}/λ_{N}^{r}=0$) which occurs in the residual degree gradient (RDG) method proposed in Phys. Rev. Lett. 103, 228702 (2009). Further experiments show that REBG method enhance synchronizability in networks with community structure as compared with the RDG method.
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