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Lecture Notes in Computer Science
A random geometric graph G(n, r) is obtained by spreading n points uniformly at random in a unit square, and by associating a vertex to each point and an edge to each pair of points at Euclidian distance at most r. Such graphs are extensively used to model wireless ad-hoc networks, and in particular sensor networks. It is well known that, over a critical value of r, the graph is connected with high probability. In this paper we study the robustness of the connectivity of random geometric graphsdoi:10.1007/11940128_53 fatcat:oyo3shbv7fgyzixngxsdydc554