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On the Convex Hull of the Integer Points

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Author Info
Antal Balog (Princeton University)
Imre Barany (NYU)
Abstract

Let P_{r} denote the convex hull of the integer points in the disc of radius r. We prove that the number of vertices of P_{r} is essentially r^{2/3} as r approaches infinity.

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File URL: http://cowles.econ.yale.edu/P/cd/d09b/d0962.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 962.

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Length: 9 pages
Date of creation: Nov 1990
Date of revision:
Handle: RePEc:cwl:cwldpp:962

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