A solution to sensor network coverage problem

The coverage problem is one of the basic issues in sensor network, which reflects not only the lifetime of the sensor network, but also how well the target activity area is monitored by sensor nodes. The article proposes a solution to this problem. The goal is to determine whether or not every point in the sensor network area is covered by the communication range of the sensor nodes. Further, the solution also presents how many neighbour sensor nodes fully cover the communication range of every sensor node. We present coverage topology and its mathematical foundation.