SOME ERDOS-SZEKERES TYPE RESULTS ABOUT POINTS IN-SPACE

被引:4
|
作者
BISZTRICZKY, T [1 ]
SOLTAN, V [1 ]
机构
[1] ACAD SCI MOLDAVIA,INST MATH,KISHINEV,MOLDOVA
来源
MONATSHEFTE FUR MATHEMATIK | 1994年 / 118卷 / 1-2期
关键词
D O I
10.1007/BF01305772
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Erdos-Szekeres convex n-gon theorem states that for any n greater-than-or-equal-to 3, there is a smallest integer f(n) such that any set of at least f(n) points in the plane E2, no three collinear, contains the vertices of a convex n-gon. We consider three versions of this result as applied to convexly independent points and convex polytopes in E(d), d greater-than-or-equal-to 2.
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页码:33 / 40
页数:8
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