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Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
 
 
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Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series) [Hardcover]

J. Flum (Author), M. Grohe (Author)

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Book Description

3540299521 978-3540299523 March 16, 2006 1
This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes. It presents detailed proofs of recent advanced results that have not appeared in book form before and replaces the earlier publication "Parameterized Complexity" by Downey and Fellows as the definitive book on this subject. The book will interest computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.

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Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series) + Parameterized Complexity (Monographs in Computer Science) + Invitation to Fixed Parameter Algorithms (Oxford Lecture Series in Mathematics and Its Applications)
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Editorial Reviews

Review

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)

About the Author

Prof. Jrg Flum, Abteilung fr Mathematische Logik, Albert-Ludwigs-Universitt Freiburg, Germany, http://logik.mathematik.uni-freiburg.de/personen/Flum.html Prof. Martin Grohe, Institut fr Informatik, Humboldt-Universitt zu Berlin, Germany, http://www.informatik.hu-berlin.de/

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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!

Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
bounded local tree width, homomorphic equivalence, weighted satisfiability problems, time decidable class, eter tractable, parameterized complexity theory, excluded grid theorem, free relation variables, parameterized problem, graph minor theory, parameterized analogue, hounded tree width, unbounded theory, kernelization algorithm, hitting set problem, topological subgraph, yields the desired reduction, nondeterministic steps, bounded search trees, planar graph problems, parameterized complexity classes, parameterized intractability, limited nondeterminism, pairwise disjoint paths, existential block
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Courcelle's Theorem, Sparsification Lemma, Fagin's Theorem, Monte Carlo, Bodlaender's Theorem, Kuratowski's Theorem, Sunflower Lemma
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