Articoli correlati a Parameterized Complexity Theory

9783540299523: Parameterized Complexity Theory

Sinossi

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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Recensione

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)

Contenuti

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.- Subexponential Fixed-Parameter Tractability.- Appendix, Background from Complexity Theory.- References.- Notation.- Index.

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