Sparsity

Graphs, Structures, and Algorithms

Authors:

ISBN: 978-3-642-27874-7 (Print) 978-3-642-27875-4 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xxiii

  2. Presentation

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-5

      Introduction

    3. No Access

      Book Chapter

      Pages 7-17

      A Few Problems

  3. The Theory

    1. Front Matter

      Pages 19-19

    2. No Access

      Book Chapter

      Pages 21-60

      Prolegomena

    3. No Access

      Book Chapter

      Pages 61-88

      Measuring Sparsity

    4. No Access

      Book Chapter

      Pages 89-114

      Classes and Their Classification

    5. No Access

      Book Chapter

      Pages 115-144

      Bounded Height Trees and Tree-Depth

    6. No Access

      Book Chapter

      Pages 145-174

      Decomposition

    7. No Access

      Book Chapter

      Pages 175-194

      Independence

    8. No Access

      Book Chapter

      Pages 195-226

      First-Order Constraint Satisfaction Problems, Limits and Homomorphism Dualities

    9. No Access

      Book Chapter

      Pages 227-252

      Preservation Theorems

    10. No Access

      Book Chapter

      Pages 253-275

      Restricted Homomorphism Dualities

    11. No Access

      Book Chapter

      Pages 277-297

      Counting

    12. No Access

      Book Chapter

      Pages 299-309

      Back to Classes

  4. Applications

    1. Front Matter

      Pages 311-311

    2. No Access

      Book Chapter

      Pages 313-338

      Classes with Bounded Expansion – Examples

    3. No Access

      Book Chapter

      Pages 339-361

      Some Applications

    4. No Access

      Book Chapter

      Pages 363-379

      Property Testing, Hyperfiniteness and Separators

    5. No Access

      Book Chapter

      Pages 381-396

      Core Algorithms

    6. No Access

      Book Chapter

      Pages 397-410

      Algorithmic Applications

    7. No Access

      Book Chapter

      Pages 411-416

      Further Directions

    8. No Access

      Book Chapter

      Pages 417-429

      Solutions and Hints for some of the Exercises

  5. Back Matter

    Pages 431-457