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- About this Textbook
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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.
- Reviews
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From the reviews:
"The book is comprehensive and up-to-date. … The definitions are illustrated by good examples, the proofs are complete and proceed at a convenient pace, the connections and the implications of the results are spelled out clearly, the exercises are relevant. The book is recommended to specialists as a work of reference, as well as to beginners who want a solid introduction to the theory of parametrized computational problems." (Marius Zimand, Zentralblatt MATH, Vol. 1143, 2008)
- Table of contents (16 chapters)
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Fixed-Parameter Tractability
Pages 1-31
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Reductions and Parameterized Intractability
Pages 33-43
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The Class W[P]
Pages 45-63
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Logic and Complexity
Pages 65-93
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Two Fundamental Hierarchies
Pages 95-103
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Parameterized Complexity Theory
- Authors
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- J. Flum
- M. Grohe
- Series Title
- Texts in Theoretical Computer Science. An EATCS Series
- Copyright
- 2006
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-29953-0
- DOI
- 10.1007/3-540-29953-X
- Hardcover ISBN
- 978-3-540-29952-3
- Softcover ISBN
- 978-3-642-06757-0
- Series ISSN
- 1862-4499
- Edition Number
- 1
- Number of Pages
- XIII, 495
- Topics
