Sparsity: Graphs, Structures, and Algorithms

By Patrice Ossona De Mendez and Jaroslav Nešetřil

Book Overview

Part I Presentation: 1. Introduction.- 2. A Few Problems.- 3. Commented Contents.- Part II. The Theory: 4. Prolegomena.- 5. Measuring Sparsity.- 6. Classes and their Classification.- 7. Bounded Height Trees and Tree-Depth.- 8. Decomposition.- 9. Independence.- 10. First-Order Constraint Satisfaction Problems and Homomorphism Dualities.- 11. Restricted Homomorphism Dualities.- 12. Counting.- 13. Back to Classes.- Part III Applications: 14. Classes with Bounded Expansion - Examples.- 15. Property Testing, Hyperfiniteness and Separators.- 16. Algorithmic Applications.- 17. Other Applications.- 18. Conclusion.- Bibliography.- Index.- List of Symbols​.

• Format: Paperback
• Language: English
• ISBN: 3642427766
• ISBN13: 9783642427763
• Release Date: May 2014
• Publisher: Springer
• Length: 459 Pages
• Weight: 1.48 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"