Davenport}}}Schinzel Sequences and their Geometric Applications [Hardcover]

A comprehensive treatment of a fundamental tool for solving problems in computational and combinatorial geometry.This book provides a comprehensive study of the theory of Davenport-Schinzel sequences and its geometric applications. These sequences are one of the most fundamental and sophisticated tools for solving problems in computational and combinatorial geometry. Applications arise in areas as diverse as robot motion planning, computer graphics, and pattern matching.This book provides a comprehensive study of the theory of Davenport-Schinzel sequences and its geometric applications. These sequences are one of the most fundamental and sophisticated tools for solving problems in computational and combinatorial geometry. Applications arise in areas as diverse as robot motion planning, computer graphics, and pattern matching.Applications of Davenport-Schinzel sequences arise in areas as diverse as robot motion planning, computer graphics and vision, and pattern matching. These sequences exhibit some surprising properties that make them a fascinating subject for research in combinatorial analysis. This book provides a comprehensive study of the combinatorial properties of Davenport-Schinzel sequences and their numerous geometric applications. These sequences are sophisticated tools for solving problems in computational and combinatorial geometry. This first book on the subject by two of its leading researchers will be an important resource for students and professionals in combinatorics, computational geometry, and related fields.1. Introduction; 2. DavenportSchinzel sequences of order 3; 3. Higher order sequences; 4. Geometric realization; 5. Planar arrangements; 6. Algorithms for arrangements; 7. Arrangements in higher dimensions; 8. Geometric applications; Bibliography.Review of the hardback: 'This is a very well written and readable book suitable as a textbook for upper undergraduate and junior graduate students. It is entirely selfcontained.' European Mathemal“m