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Showing papers by "Shivendra S. Panwar published in 1989"


Journal ArticleDOI
TL;DR: A model of a packet radio network in which transmitters with range R are distributed according to a two-dimensional Poisson point process with density D is examined and it is shown that pi R/sup 2/D, the expected number of nearest neighbors of a transmitter, must grow logarithmically with the area of the network.
Abstract: A model of a packet radio network in which transmitters with range R are distributed according to a two-dimensional Poisson point process with density D is examined To ensure network connectivity, it is shown that pi R/sup 2/D, 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 pi R/sup 2/D>N/sub 0/, for some critical value N/sub 0/ It is shown that 2195 >

281 citations