Title
Oracle-polynomial-time approximation of largest simplices in convex bodies
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.
Year
DOI
Venue
2000
10.1016/S0012-365X(99)00387-8
Discrete Mathematics
Keywords
Field
DocType
oracle-polynomial-time approximation,algorithmic theory of convex bodies,polynomial time,simplex,largest simplex,05b20,90c30,68q20,determinant,oracle,52b55,approximation,convex body,15a15,upper and lower bounds
Discrete mathematics,Combinatorics,Convex body,Convex combination,Convex hull,Convex set,Subderivative,Convex polytope,Mathematics,Convex analysis,Mixed volume
Journal
Volume
Issue
ISSN
221
1-3
Discrete Mathematics
Citations 
PageRank 
References 
5
0.54
0
Authors
3
Name
Order
Citations
PageRank
Andreas Brieden1435.11
Peter Gritzmann241246.93
Victor Klee316917.23