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Improved Bounds for Geometric Permutations

โœ Scribed by Rubin, Natan; Kaplan, Haim; Sharir, Micha


Book ID
118159087
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
364 KB
Volume
41
Category
Article
ISSN
0097-5397

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๐Ÿ“œ SIMILAR VOLUMES


Geometric permutations for convex sets
โœ M Katchalski; T Lewis; J Zaks ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB
Bounding the Number of Geometric Permuta
โœ Jacob E. Goodman; Richard Pollack; Rephael Wenger ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

We prove that a suitably separated family of n compact convex sets in R d can be met by k-flat transversals in at most d&k) , or for fixed k and d, O(n k(k+1)(d&k) ) different order types. This is the first non-trivial upper bound for 12.