Connectivity Transition for Wireless Networks with Growing Processes

In the paper, we study the connectivity transition for wireless network which transforms from partition to connected state according to the growth model. Based on the percolation theory, the bounds of critical density are derived which are responsible to find the first connection time and total connection time. Besides that, three node growth functions are proposed to model the increment of network and the related time metrics are obtained. In future work, more realistic network model will be used in which the wireless nodes may have different transmission range and their deployment would follow heterogeneous distribution.