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Titel:

Oracle-polynomial-time approximation of largest simplices in convex bodies

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Brieden, A.; P. Gritzmann and V. Klee
Abstract:
With focus on the case of variable dimension n, this paper is concerned with deterministic polynomial-time approximation of the maximum j-measure of j-simplices contained in a given n-dimensional convex body K. Under the assumption that K is accessible only by means of a weak separation oracle, upper and lower bounds on the accuracy of oracle-polynomial-time approximations are obtained.
Stichworte:
Log-concave probabilitiesExtreme pointsLocalization lemma
Zeitschriftentitel:
Discrete Mathematics
Jahr:
2000
Heft / Issue:
221
Seitenangaben Beitrag:
79-92
Reviewed:
ja
Sprache:
en
TUM Einrichtung:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik
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