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On the asymptotic connectivity of random networks under the random connection model

On the asymptotic connectivity of random networks under the random connection model

Consider a network where all nodes are distributed on a unit square following a Poisson distribution with known density ρ and a pair of nodes separated by an Euclidean distance x are directly connected with probability g(x/r <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ρ</sub> ), where g : [0,∞) → [0,1] satisfies three conditions: …