Research Problems in Discrete Geometry

• Main Authors: Brass, Peter (Author), Moser, William O. J. (Author), Pach, János (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Convex and 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...

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.