منابع مشابه
Connectivity for line-of-sight networks in higher dimensions
Let T be a d-dimensional toroidal grid of n points. For a given range parameter ω, and a positive integer k ≤ d, we say that two points in T are mutually visible if they differ in at most k coordinates and are a distance at most ω apart, where distance is measured using the `p norm. We obtain a random d-dimensional line-of-sight graph G by placing a node at each point in T independently with so...
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Given ω ≥ 1, let Z2(ω) be the graph with vertex set Z 2 in which two vertices are joined if they agree in one coordinate and differ by at most ω in the other. (Thus Z2(1) is precisely Z .) Let pc(ω) be the critical probability for site percolation in Z2(ω). Extending recent results of Frieze, Kleinberg, Ravi and Debany, we show that limω→∞ ωpc(ω) = log(3/2). We also prove analogues of this resu...
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ژورنال
عنوان ژورنال: Nature
سال: 1990
ISSN: 0028-0836,1476-4687
DOI: 10.1038/343030a0