Sets with no empty convex 7-gons

Loading...
Thumbnail Image
Date
1982
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Erdos has defined g(n) as the smallest integer such that any set of g(n) points in the plane, no three collinear, contains the vertex set of a convex n-gon whose interior contains no point of this set. Arbitrarily large sets containing no empty convex 7-gon are constructed, showing that g(n) does not exist for n > 7. Whether g(6) exists is unknown.
Description
Keywords
Citation
Collections