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- W2155111687 abstract "Given a sphere or a ball of radius r > 1 in an Euclidean space of dimension n, we study their thinnest coverings with unit balls. Our goal is to design a covering with the lowest covering density, which is defined by an average number of unit balls needed to cover any point within a sphere. For growing n, we obtain a new upper bound on the covering density that has the order of (n ln n)/2, which is half the order established in the classic Rogers bound" @default.
- W2155111687 created "2016-06-24" @default.
- W2155111687 creator A5059701662 @default.
- W2155111687 date "2006-07-01" @default.
- W2155111687 modified "2023-10-16" @default.
- W2155111687 title "Covering spheres and balls with smaller balls" @default.
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- W2155111687 doi "https://doi.org/10.1109/isit.2006.261876" @default.
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