Capacity of Three-Dimensional Scale Free Wireless Networks

This paper mainly studies the effect of scale-free characteristics on capacity in three-dimensional wireless social networks. The network capacity is related to three parameters: social concentration factor α, communication activity factor β and clustering factor γ. According to the connection degree of the scale-free features, namely, the size of the social group, all nodes are divided into two types: ’social-butterfly’ nodes and normal nodes. The capacity of two kinds of nodes is related to different parameters. The number of ’social-butterfly’ nodes is small de facto, and the capacity of normal nodes is more complicated according to the community characteristics of the network. We have proposed the theoretical capacity of two kinds of nodes under evenly bandwidth allocation respectively. Meanwhile, we simulated the variation of the threshold q0 under different n and α. We found that q0 is close to 66:7% of the maximum number of group members, which is groudbreaking.