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 k3, 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 -