volume 26, issue 4, P543-548 2001
DOI: 10.1007/s00454-001-0044-9
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## Abstract: We show that the maximum number of geometric permutations of a set of n pairwise-disjoint convex and fat objects in R d is O(n d−1 ). This generalizes the bound of (n d−1 ) obtained by Smorodinsky et al. [5] on the number of geometric permutations of n pairwise-disjoint balls.

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