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The different ways of stabbing disjoint convex sets (1992)

Katchalski, M. ; Lewis, T. ; Liu, A.

Springer

Discrete & computational geometry 7 (1992), S. 197-206

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ISSN: 1432-0444

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract We construct a family ofn disjoint convex set in ℝ d having (n/(d−1)) d−1 geometric permutations. As well, we complete the enumeration problem for geometric permutations of families of disjoint translates of a convex set in the plane, settle the case for cubes in ℝ d , and construct a family ofd+1 translates in ℝ d admitting (d+1)!/2 geometric permutations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02187836

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