Research Problems in Discrete Geometry

Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But ma...

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Bibliographic Details
Main Authors: Brass, Peter, Moser, William O. J. (Author), Pach, János (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2005, 2005
Edition:1st ed. 2005
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Definitions and Notations
  • Density Problems for Packings and Coverings
  • Structural Packing and Covering Problems
  • Packing and Covering with Homothetic Copies
  • Tiling Problems
  • Distance Problems
  • Problems on Repeated Subconfigurations
  • Incidence and Arrangement Problems
  • Problems on Points in General Position
  • Graph Drawings and Geometric Graphs
  • Lattice Point Problems
  • Geometric Inequalities