Article ID Journal Published Year Pages File Type
4656608 Journal of Combinatorial Theory, Series A 2006 10 Pages PDF
Abstract

The thinnest coverings of ellipsoids are studied in the Euclidean spaces of an arbitrary dimension n. Given any ellipsoid, our goal is to find the minimum number of unit balls needed to cover this ellipsoid. A tight asymptotic bound on the logarithm of this number is obtained.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics