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.

引用

页码：245 / 249

页数：5

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