Convex polygons in cartesian products

We study several problems concerning convex polygons whose vertices lie in a Cartesian product of two sets of $n$ real numbers (for short, \emph{grid}). First, we prove that every such grid contains $\Omega(\log n)$ points in convex position and that this bound is tight up to a constant factor. We...

Full description

Bibliographic Details
Published in:Journal of Computational Geometry
Main Authors: Jean-Lou De Carufel, Adrian Dumitrescu, Wouter Meulemans, Tim Ophelders, Claire Pennarun, Csaba D Tóth, Sander Verdonschot
Format: Article
Language:English
Published: Carleton University 2021-02-01
Online Access:https://jocg.org/index.php/jocg/article/view/3124