We consider the problem of removing c points from a set S of n points so that the resulting point set has the smallest possible convex hull. Our main result is an O n 4c 2c (3c)c +...
Let P be a convex polytope in Rd , d = 3 or 2, with n vertices. We present linear time algorithms for approximating P by simpler polytopes. For instance, one such algorithm select...
Covering numbers of precompact symmetric convex subsets of Hilbert spaces are investigated. Lower bounds are derived for sets containing orthogonal subsets with norms of their ele...
A new technique for design centering, and for polytope approximation of the feasible region for a design are presented. In the rst phase, the feasible region is approximated by a ...
Sachin S. Sapatnekar, Pravin M. Vaidya, Steve M. K...
Abstract. We study mixed integer nonlinear programs (MINLP)s that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision ...