Reconfirmation of two results on disjoint empty convex polygons

被引:0
|
作者
Wu, Liping [1 ]
Ding, Ren [2 ]
机构
[1] Hebei Univ, Coll Phys Sci & Technol, Baoding 071002, Peoples R China
[2] Hebei Normal Univ, Coll Math, Shijiazhuang 050016,, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
For k >= 3, let m(k, k + 1) be the smallest integer such that any set of m(k, k + 1) points in the plane, no three collinear, contains two different subsets Q(1) and Q(2), such that CH(Qr) is an empty convex k-gon, CH(Q(2)) is an empty convex (k + 1)-gon, and CH(Qi) boolean AND CH(Q(2)) = 0, where CH stands for the convex. hull. In this paper, we revisit the case of k = 3 and k = 4, and provide new proofs.
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页码:216 / +
页数:2
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