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Fundamentals of Parameterized Complexity

The field of parameterized complexity/multivariate complexity algorithmics is an exciting and vibrant part of theoretical computer science, responding to the vital need for efficient algorithms in modern society. This comprehensive and self-contained textbook presents an accessible overview of the s...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Downey, Rodney G. (Autor), Fellows, Michael R. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Texts in Computer Science,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Part I: Parameterized Tractability
  • Preliminaries
  • The Basic Definitions
  • Part II: Elementary Positive Techniques
  • Bounded Search Trees
  • Kernelization
  • More on Kernelization
  • Iterative Compression, and Measure and Conquer, for Minimization Problems
  • Further Elementary Techniques
  • Colour Coding, Multilinear Detection, and Randomized Divide and Conquer
  • Optimization Problems, Approximation Schemes, and Their Relation to FPT
  • Part III: Techniques Based on Graph Structure
  • Treewidth and Dynamic Programming
  • Heuristics for Treewidth
  • Automata and Bounded Treewidth
  • Courcelle's Theorem
  • More on Width-Metrics: Applications and Local Treewidth
  • Depth-First Search and the Plehn-Voigt Theorem
  • Other Width Metrics
  • Part IV: Exotic Meta-Techniques
  • Well-Quasi-Orderings and the Robertson-Seymour Theorems
  • The Graph Minor Theorem
  • Applications of the Obstruction Principle and WQOs
  • Part V: Hardness Theory
  • Reductions
  • The Basic Class W[1] and an Analog of Cook's Theorem
  • Other Hardness Results
  • The W-Hierarchy
  • The Monotone and Antimonotone Collapses
  • Beyond W-Hardness
  • k-Move Games
  • Provable Intractability: The Class XP
  • Another Basis
  • Part VI: Approximations, Connections, Lower Bounds
  • The M-Hierarchy, and XP-optimality
  • Kernelization Lower Bounds
  • Part VII: Further Topics
  • Parameterized Approximation
  • Parameterized Counting and Randomization
  • Part VIII: Research Horizons
  • Research Horizons
  • Part IX Appendices
  • Appendix 1: Network Flows and Matchings
  • Appendix 2: Menger's Theorems.