Abstract:

This paper proposes a directed weighted network model based on BBV model by culminating with directivity and characteristic of network evolution. It introduces parameters p, q, the strength of a node is divided into in-strength and out-strength, picks over and evolution of this model based on BBV building thought. Theory analysis and numerical value simulation results show that node distribution of out-strength and in-strength with the exponent of [2,3] in this model. Average path and clustering coefficient which are adjusted by parameter can consistent with the characteristics of complex network.

Key words: Barrat-Barthelemy-Vespignani(BBV) model, directed weighted network, edge weighted, node out-strength, node in-strength

摘要：

在BBV模型基础上，结合方向性和网络演化特性，提出一种有向加权网络模型。引入参数p、q，将节点强度分为入强度和出强度，根据BBV建模思想进行模型择优和演化。理论分析和数值模拟仿真结果表明，该模型的节点出入强度和出入度分布满足幂律指数为[2,3]的幂律分布，且通过调节参数可使平均路径和聚簇系数符合复杂网络特性。

关键词: BBV模型, 有向加权网络, 边权, 节点出强度, 节点入强度

CLC Number: 

• TP393