中心节点距离可控的加权树状网络一致性分析

Coherence Analysis of Weighted Treelike Networks with Controlled Distance between Two Hub Nodes

选取一类加权树状网络为研究对象,中心节点之间的距离受参数控制。利用其规则的拓扑结构和矩阵知识,得到了网络一致性的精确表达式,着重分析网络权重因子、中心节点之间的距离对网络一致性的影响。研究发现权重越大、两个中心节点之间的距离越短,网络一致性越好。

This paper proposes a family of weighted treelike networks with controlled distance between two hub nodes.By using its regular topology structure,the analytical expression of network coherence is obtained.The influence of both the weight factor and the distance between hub nodes on the network coherence is investigated.It is found that greater weights and shorter distances result in better coherence.