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On the Convex Hull of the Integer Points

Antal Balog and Imre Barany
Additional contact information
Antal Balog: Princeton University
Imre Barany: NYU

No 962, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

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.

Pages: 9 pages
Date: 1990-11
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Published in Discrete and Computational Geometry, vol. 6, New Bruswick, 1991

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