The Radon Number of the Three-Dimensional Integer Lattice

被引：0
|
作者：
Károly Bezdek
Aart Blokhuis
机构：
[1] Department of Geometry,
[2] Eötvös University,undefined
[3] Pázm\’any Péter sétány 1/c,undefined
[4] H-1117 Budapest,undefined
[5] Department of Mathematics and Computing Science,undefined
[6] Eindhoven University of Technology,undefined
[7] P.O. Box 513,undefined
[8] 5600 MB Eindhoven ,undefined
来源：
Discrete & Computational Geometry | 2003年 / 30卷
关键词：
Euclidean Space; Convex Hull; Integer Point; Integer Lattice; Radon Number;
D O I：
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中图分类号：
学科分类号：
摘要：
In this note we prove that the Radon number of the three-dimensional integer lattice is at most 17, that is, any set of 17 points with integral coordinates in the three-dimensional Euclidean space can be partitioned into two sets such that their convex hulls have an integer point in common.
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页码：181 / 184
页数：3
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