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Simultaneous packing and covering in sequence spaces

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

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Abstract

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
Official URL: http://www.springer.com/math/numbers/journal/454
Additional Information: © 2009 Springer
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 09 Oct 2009 09:51
URL: http://eprints.lse.ac.uk/25404/

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