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Sphere-of-influence graphs using the sup-norm

โœ Scribed by E. Boyer; L. Lister; B. Shader


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
984 KB
Volume
32
Category
Article
ISSN
0895-7177

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The sphere-of-influence graph of a set of point sites in R a is constructed by identifying the nearest neighbor of each site, centering a ball at each site so that its nearest neighbor lies on the boundary, and joining two sites by an edge if and only if their balls intersect. The asymptotic behavio

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We show that the variance of the number of edges in the random sphere of influence graph built on n i.i.d. sites which are uniformly distributed over the unit cube in R d , grows linearly with n. This is then used to establish a central limit theorem for the number of edges in the random sphere of i