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math.PR2007
A critical constant for the k nearest neighbour model
Paul Balister, Bela Bollobas, Amites Sarkar +1
Let P be a Poisson process of intensity one in a square S_n of area n. For a fixed integer k, join every point of P to its k nearest neighbours, creating an undirected random geome…
math.PR2007★ 12 cited
Line-of-sight percolation
Bela Bollobas, Svante Janson, Oliver Riordan
Given , let be the graph with vertex set in which two vertices are joined if they agree in one coordinate and differ by at most in the other. (Thus $Z…