The connectivity of a graph on uniform points on [0,1]d

The connectivity of a graph on uniform points on [0,1]d
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DOI:
10.1016/s0167-7152(02)00233-x
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发表时间:
2002-12-15
影响因子:
0.8
通讯作者:
Russo, RP
Russo, RP
中科院分区:
数学4区
文献类型:
--
作者:
Appel, MJB;Russo, RP

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随机图Gn(x)是在独立的随机点U-1,…,U-n在[0,1](d)上均匀分布,d大于或等于1,其中两个不同的点通过一条边连接,如果它们之间的l(无穷大)-距离至多为某个规定值0无穷大,其中d(n)是G(n)(x)没有孤立点的最大最近邻链路,最小x。(C)2002 Elsevier Science B. V.保留所有权利。
A random graph Gn(x) is constructed on independent random points U-1,..., U-n distributed uniformly on [0,1](d), dgreater than or equal to1, in which two distinct such points are joined by an edge if the l(infinity)-distance between them is at most some prescribed value 0infinity, where d(n) is the largest nearest-neighbor link, the smallest x for which G(n)(x) has no isolated vertices. (C) 2002 Elsevier Science B.V. All rights reserved.