Simultaneous packing and covering in sequence spaces

(2009) Simultaneous packing and covering in sequence spaces Discrete and Computational Geometry, 42 (2). pp. 335-340. ISSN 0179-5376

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We adapt a construction of Klee (1981) to find a packing of unit balls in ℓ p (1≤p<∞) which is efficient in the sense that enlarging the radius of each ball to any R>21−1/p covers the whole space. We show that the value 21−1/p is optimal.

Item Type	Article
Copyright holders	© 2009 Springer
Departments	Mathematics
DOI	10.1007/s00454-009-9189-8
Date Deposited	09 Oct 2009 09:51
URI	https://researchonline.lse.ac.uk/id/eprint/25404

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Swanepoel, Konrad

QA Mathematics

http://www.springer.com/math/numbers/journal/454 (Official URL)

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