Capacity of social networks in wireless environments

We study capacity of social networks when nodes communicate in a wireless environment. Such hybrid networks that are combination of wireless communication and social networks are defined as composite networks. Each node has at least one local contact in each of four directions of the network area and q(n) independent long-range contacts, one of which is selected as the destination. We study the throughput capacity for such networks containing n nodes assuming the same number of social contacts for all nodes. The nodes communicate using multi-hop communications through relaying the packet to one of their local contacts until the packet reaches the destination. The distance between source and its long-range social contacts follows power law distribution with parameter α. The order capacity is derived and compared for different values of α and q(n).