Title
On the Existence of a Point Subset with 4 or 5 Interior Points
Abstract
An interior point of a finite planar point set is a point of the set that is noton the boundary of the convex hull of the set. For any integer k 1, let h(k) bethe smallest integer such that every set of points in the plane, no three collinear,containing at least h(k) interior points has a subset of points containing k ork +1 interior points. We proved that h(3) = 3 in an earlier paper. In this paperwe prove that h(4) = 7.2 IntroductionThroughout the paper we consider only planar point ...
Year
DOI
Venue
1998
10.1007/978-3-540-46515-7_5
JCDCG
Keywords
Field
DocType
interior points,point subset,interior point,convex hull
Combinatorics,Convex body,Mathematical analysis,Convex combination,Interior,Convex hull,Convex set,Closure (topology),Interior point method,Mathematics,Algebraic interior
Conference
Volume
ISSN
ISBN
1763
0302-9743
3-540-67181-1
Citations 
PageRank 
References 
5
0.78
1
Authors
3
Name
Order
Citations
PageRank
David Avis17828.31
Kiyoshi Hosono26011.01
Masatsugu Urabe315325.87