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We give fast and efficient methods for constructing ffl-nets and ffl-approximations for range spaceswith bounded VC-exponent. These combinatorial structures have wide applicability to geometricpartitioning problems, which are often used in divide-and-conquer constructions in computationalgeometry algorithms. In addition, we introduce a new deterministic set approximation for rangespaces with bounded VC-exponent, which we call the ffi -relative ffl-approximation, and we show howsuch...

Bounded-Independence Derandomization of Geometric Partitioning with Applications to Parallel Fixed-Dimensional Linear Programming