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Combinatorial geometry

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Author(s): Agarwal, Pankaj K.; Pach, János
Publisher: Wiley
Year: 1995

Language: English
Pages: 354
Tags: Combinatorial geometry.

Content: Arrangements of Convex Sets. Geometry of Numbers. Approximation of a Convex Set by Polygons. Packing and Covering with Congruent Convex Discs. Lattice Packing and Lattice Covering. The Method of Cell Decomposition. Methods of Blichfeldt and Rogers. Circle Packings and Planar Graphs. Arrangements of Points and Lines. Extremal Graph Theory. Repeated Distances in Space. Applications of the Bounds on Incidences. More on Repeated Distances. Epsilon Nets and Transversals of Hypergraphs. Wiley-Interscience Series in Discrete Mathematics and Optimization.