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Three views of LP-type optimization problems

by: Jiri Matousek, Petr Skovron


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An axiomatically de ned class of optimization problems, called LP-type problems (or also generalized linear programming problems) and introduced by Sharir and Welzl, includes linear programming, the smallest enclosing ball for a given point set in R , and many other important problems. We investigate mathematical properties of LPtype problems. In particular, we introduce two axiomatic de nitions, the concrete LP-type problems and the acyclic violator spaces, and we show that they...


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