Parameterized Complexity Theory
By: Flum, J�rg [author.1].
Contributor(s): Grohe, Martin [author.2 ] | SpringerLink (Online service)0.
Material type:
BookSeries: Texts in Theoretical Computer Science. An EATCS Series0.Berlin, Heidelberg : Springer Berlin Heidelberg, 2006. Description: XIII, 495 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540299530.Subject(s): Computer science. 0 | Architecture, Computer. 0 | Computers. 0 | Algorithms. 0 | Mathematical logic.14 | Computer Science.24 | Computer System Implementation.24 | Mathematical Logic and Foundations.24 | Algorithm Analysis and Problem Complexity.24 | Theory of Computation.24 | Computation by Abstract Devices.24 | Mathematical Logic and Formal Languages.1DDC classification: 003.3 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK415 |
Fixed-Parameter Tractability -- Reductions and Parameterized Intractability -- The Class W[P] -- Logic and Complexity -- Two Fundamental Hierarchies -- The First Level of the Hierarchies -- The W-Hierarchy -- The A-Hierarchy -- Kernelization and Linear Programming Techniques -- The Automata-Theoretic Approach -- Tree Width -- Planarity and Bounded Local Tree Width -- Homomorphisms and Embeddings -- Parameterized Counting Problems -- Bounded Fixed-Parameter Tractability and Limited Nondeterminism -- Subexponential Fixed-Parameter Tractability.
Parameterized complexity theory is a recent branch of computational complexity theory that provides a framework for a refined analysis of hard algorithmic problems. The central notion of the theory, fixed-parameter tractability, has led to the development of various new algorithmic techniques and a whole new theory of intractability. This book is a state-of-the-art introduction to both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes, and it presents detailed proofs of recent advanced results that have not appeared in book form before. Several chapters are each devoted to intractability, algorithmic techniques for designing fixed-parameter tractable algorithms, and bounded fixed-parameter tractability and subexponential time complexity. The treatment is comprehensive, and the reader is supported with exercises, notes, a detailed index, and some background on complexity theory and logic. The book will be of interest to computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity. 0
There are no comments for this item.