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

  title={Oracle-polynomial-time approximation of largest simplices in convex bodies},
  author={Andreas Brieden and Peter Gritzmann and Victor Klee},
  journal={Discrete Mathematics},
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. c © 2000 Elsevier Science B.V. All rights reserved. MSC: 90C30; 52B55; 68Q20; 15A15; 05B20 

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