Connectivity Properties of a Packet Radio Network Model

A model of a packet radio network in which transmitters with range R are distributed according to a twodimensional Poisson point process with density D is examined. To ensure network connectivity, it is shown that πR 2D, the expected number of nearest neighbors of a transmitter, must grow logarithmically with the area of the network. For an infinite area there exists an infinite connected component with nonzero probability if πR2D > N0, for some critical value N0. We show that 2.195 < N0 < 10.526. © 1989 IEEE