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2016

Packing Convex Bodies by Cylinders

3 years 16 days ago
Packing Convex Bodies by Cylinders
In [BL] in relation to the unsolved Bang’s plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex body. In this paper we provide the packing counterpart of these estimates. We also extend bounds to the case of r-fold covering and packing and show a packing analog of Falconer’s results ([Fa]).
Károly Bezdek, Alexander E. Litvak
Added 01 Apr 2016
Updated 01 Apr 2016
Type Journal
Year 2016
Where DCG
Authors Károly Bezdek, Alexander E. Litvak
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