Parameterized Complexity Theory [electronic resource] /by Jörg Flum, Martin Grohe.
by Flum, Jörg [author.]; Grohe, Martin [author.]; SpringerLink (Online service).
Material type:
BookSeries: Texts in Theoretical Computer Science. An EATCS Series: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XIII, 493 p. 51 illus. online resource.ISBN: 9783540299530.Subject(s): Computer science | Information theory | Computer software | Algorithms | Logic, Symbolic and mathematical | Computer Science | Algorithm Analysis and Problem Complexity | Mathematical Logic and Foundations | Theory of Computation | Computation by Abstract Devices | Mathematical Logic and Formal Languages | AlgorithmsDDC classification: 005.1 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA76.9.A43 (Browse shelf) | Available |
Browsing MAIN LIBRARY Shelves Close shelf browser
| QA76.9.A43 Complexity Theory | QA76.9.A43 Design and Analysis of Randomized Algorithms | QA76.9.A43 Introduction to Reliable Distributed Programming | QA76.9.A43 Parameterized Complexity Theory | QA76.9.A43 Modular Algorithms in Symbolic Summation and Symbolic Integration | QA76.9.A43 Algorithms and Computation | QA76.9.A43 Graph-Theoretic Concepts in Computer Science |
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.
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