A Note on the Existence of a Specified Number of Interior Points  

特定内点个数集合的存在性研究(英文)

作　　者：魏祥林 丁仁 

机构地区：[1]College of Science,Hebei University of Science and Technology [2]College of Mathematics,Hebei Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第4期606-614,共9页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10901045,11171088);Supported by the NSF of Hebei Province(A2010000828);Supported by the SF of Hebei University of Science and Technology(QD200955)

摘　　要：An interior point of a finite planar point set is a point of the set that is not on the boundary of the convex hull of the set. For any integer k ≥ 1, let h（κ） be the smallest integer such that every set of points in the plane, no three collinear, with at least h（κ） interior points, has a subset of points with exactly κ or κ ＋ 1 interior points of P. We prove that h（5）=11.

关 键 词：interior points empty triangle deficient point set （χ  У）-splitters 

分 类 号：O157.3[理学—数学]