Covering the plane with fat ellipses without non-crossing assumption

被引：4
|
作者：
Heppes, A
机构：
[1] Vércse u 24/A,
[2] 1124 Budapest,undefined
[3] Hungary hep9202@helka.iif.hu ,undefined
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2003年 / 29卷 / 03期
关键词：
Congruent Circle;
D O I：
10.1007/s00454-002-2835-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Kershner proved in 1939 that the density of a covering of the plane by congruent circles is at least 2pi/root27 [3]. In 1950 L. Fejes Toth [2] extended this result showing that the same density bound holds for coverings with congruent ellipses which do not "cross". In the present paper we prove that the non-crossing assumption is not necessary if the ellipses are sufficiently "fat".
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页码：477 / 481
页数：5
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