Note on an inequality of Wegner

被引：3
|
作者：
Boroczky, Karoly J. [1 ]
Ruzsa, Imre Z. [1 ]
机构：
[1] Hungarian Acad Sci, Renyi Inst Math, H-1364 Budapest, Hungary
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2007年 / 37卷 / 02期
关键词：
Convex Hull; Unit Disc; Discrete Comput Geom; Isoperimetric Inequality; Compact Convex Subset;
D O I：
10.1007/s00454-006-1277-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Wegner gave a geometric characterization of all so-called Groemer packing of n >= 2 unit discs in E-2 that are densest packings of n unit discs with respect to the convex hull of the discs. In this paper we provide a number theoretic characterization of all n satisfying that such a "Wegner packing" of n unit discs exists, and show that the proportion of these n is 23/24 among all natural numbers.
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页码：245 / 249
页数：5
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