A novel local nonlinear preferential attachment model for Wireless Sensor Networks

We propose a novel Wireless Sensor Networks (WSNs) evolution model based on complex network theory. In real WSNs, the energy, power and transmission radius of the sensor nodes are limited, so nodes only communicate with the nodes in local area network (LAN). We exploit this property by introducing a local nonlinear preferential attachment strategy into our model. The new model has stable degree distribution and the others statistical properties. By adjusting some parameter of this model, we achieved a variety of degree distributions, from the exponential distribution to the power-law distribution. Moreover, we find some suitable range of the parameter a and m would make the network model have optimal performance.