Packing Convex Bodies by Cylinders

被引：0

作者：

Károly Bezdek

Alexander E. Litvak

机构：

[1] University of Calgary,Department of Mathematics and Statistics

[2] University of Alberta,Department of Mathematical and Statistical Sciences

来源：

Discrete & Computational Geometry | 2016年 / 55卷

关键词：

Convex body; Banach–Mazur distance; Bang’s problem; Volume ratio; Packing by cylinders; Covering by cylinders; Non-separable arrangement; NS-domain; NS-family; Primary: 52A40; 46B07; Secondary: 46B20; 52C17;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In Bezdek and Litvak (J Geom Anal 19:233–243, 2009) in relation to the unsolved Bang’s plank problem (Proc Am Math Soc 2:990–993, 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 (Math Proc Camb Philos Soc 87:81–96, 1980).

引用

页码：725 / 738

页数：13

共 11 条

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[2]

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[9]

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[10]

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