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Peeling the Grid

Sariel Har-Peled, and Bernard Lidicky.


Consider the set of points formed by the integer n x n grid, and the process that in each iteration removes from the point set the vertices of its convex-hull. Here, we prove that the number of iterations of this process is O(n4/3); that is, the number of convex layers of the n x n grid is Theta(n4/3).
PDF.

Last modified: Mon Jul 2 16:02:03 CDT 2012