TY - JOUR
A2 - Stipsicz, A.
A2 - Troubetzkoy, S.
A2 - Hernández, S.
AU - Sroysang, Banyat
PY - 2013
DA - 2013/12/05
TI - On the Existence of a Point Subset with 3 or 6 Interior Points
SP - 328095
VL - 2013
AB - For any finite planar point set P in general position, an interior point of the set P is a point of the set P such that it is not on the boundary of the convex hull of the set P. For any positive integer k≥3, let h(k) be the smallest integer such that every finite planar point set P with no three collinear points and with at least h(k) interior points has a subset Q for which the interior of the convex hull of the set Q contains exactly k or k+3 interior points of the set P. In this paper, we prove that h(3)=8.
SN - null
UR - https://doi.org/10.1155/2013/328095
DO - 10.1155/2013/328095
JF - ISRN Geometry
PB - Hindawi Publishing Corporation
KW -
ER -