A combinatorial result about points and balls in euclidean space |
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| Authors: | I Bárány J H Schmerl S J Sidney J Urrutia |
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| Institution: | (1) Department of Mathematics, University College, WC1E 6BT London, England;(2) Department of Mathematics, University of Connecticut, 06268 Storrs, CT, USA;(3) Department of Computer Science, University of Ottawa, K1N 9B4 Ottawa, Ontario, Canada |
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| Abstract: | For eachn 1 there isc
n
>0 such that for any finite sexX    there isA X, |A| 1/2(n+3), having the following property: ifB  A is ann-ball, then |B  X|c
n
|X|. This generalizes a theorem of Neumann-Lara and Urrutia which states thatc
21/60. |
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| Keywords: | |
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