DWDH: directed and weighted dynamics of hierarchical wireless sensor networks

Hierarchical topology control is an efficient technique and commonly used in wireless sensor networks (WSNs). Complex network theory is used for depicting and investigating structures and functions of natural and artificial networks/systems. In this paper, we explore directed and weighted dynamics of hierarchical WSNs, based on complex network theory. Early work did not considerate edge directions and attribute of heterogeneous node. We present two dynamic evolution models, which consider link/communication directions in real WSNs, and two kinds of nodes: router node and normal node are introduced into two evolution models with directed weighted edges. Then we conduct theoretical analysis by using statistical physics approach. With numerical simulations, the results show that two models fit well with expect goals. The two models could be extended in some practical projects and have better effects than common un-weighted network model.