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Book Categories |
Preface | ||
Pt. I | Arrangements of Convex Sets | 1 |
1 | Geometry of Numbers | 3 |
2 | Approximation of a Convex Set by Polygons | 11 |
3 | Packing and Covering with Congruent Convex Discs | 21 |
4 | Lattice Packing and Lattice Covering | 37 |
5 | The Method of Cell Decomposition | 47 |
6 | Methods of Blichfeldt and Rogers | 55 |
7 | Efficient Random Arrangements | 71 |
8 | Circle Packings and Planar Graphs | 95 |
Pt. II | Arrangements of Points and Lines | |
9 | External Graph Theory | 117 |
10 | Repeated Distances in Space | 141 |
11 | Arrangement of Lines | 167 |
12 | Applications of the Bounds on Incidences | 183 |
13 | More on Repeated Distances | 201 |
14 | Geometric Graphs | 223 |
15 | Epsilon Nets and Transversals of Hypergraphs | 243 |
16 | Geometric Discrepancy | 267 |
Hints for Exercises | 293 | |
Bibliography | 319 | |
Index of Symbols | 343 | |
Author Index | 345 | |
Subject Index | 351 |
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