Peeling the Grid

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Consider the set of points formed by the integer n × 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× n grid is Θ ( n4/3 ) . ∗Department of Computer Science; University of Illinois; 201 N. Goodwin Avenue; Urbana, IL...

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ژورنال

عنوان ژورنال: SIAM Journal on Discrete Mathematics

سال: 2013

ISSN: 0895-4801,1095-7146

DOI: 10.1137/120892660