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Invitation to Fixed Parameter Algorithms

New. Sprache: Englisch.
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A fixed-parameter is an algorithm that provides an optimal solution to a combinatorial problem. This research-level text is an application-oriented introduction to the growing and highly topical area of the development and analysis of efficient fixed … weiterlesen
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Invitation to Fixed Parameter Algorithms als Buch

Produktdetails

Titel: Invitation to Fixed Parameter Algorithms
Autor/en: Rolf Niedermeier

ISBN: 0198566077
EAN: 9780198566076
New.
Sprache: Englisch.
OXFORD UNIV PR

Februar 2006 - gebunden - 312 Seiten

Beschreibung

A fixed-parameter is an algorithm that provides an optimal solution to a combinatorial problem. This research-level text is an application-oriented introduction to the growing and highly topical area of the development and analysis of efficient fixed-parameter algorithms for hard problems.
The book is divided into three parts: a broad introduction that provides the general philosophy and motivation; followed by coverage of algorithmic methods developed over the years in fixed-parameter algorithmics forming the core of the book; and a discussion of the essential from parameterized
hardness theory with a focus on W [1]-hardness, which parallels NP-hardness, then stating some relations to polynomial-time approximation algorithms, and finishing up with a list of selected case studies to show the wide range of applicability of the presented methodology.
Aimed at graduate and research mathematicians, programmers, algorithm designers and computer scientists, the book introduces the basic techniques and results and provides a fresh view on this highly innovative field of algorithmic research.

Inhaltsverzeichnis

PART I: FOUNDATIONS ; 1. Introduction to Fixed-Parameter Algorithms ; 2. Preliminaries and Agreements ; 3. Parameterized Complexity Theory - A Primer ; 4. Vertex Cover - An Illustrative Example ; 5. The Art of Problem Parameterization ; 6. Summary and Concluding Remarks ; PART II: ALGORITHMIC METHODS ; 7. Data Reduction and Problem Kernels ; 8. Depth-Bounded Search Trees ; 9. Dynamic Programming ; 10. Tree Decompositions of Graphs ; 11. Further Advanced Techniques ; 12. Summary and Concluding Remarks ; PART III: SOME THEORY, SOME CASE STUDIES ; 13. Parameterized Complexity Theory ; 14. Connections to Approximation Algorithms ; 15. Selected Case Studies ; 16. Zukunftsmusik ; References ; Index

Pressestimmen

You will enjoy reading it whether you want to do research in the area or just want to learn about it. And while merily intending the latter, you are most likely going to end up doing the former when you finish reading it. EMS Newsletter This book is an excellent introduction to the algorithmic aspects of the field William Gasarch and Kin Keung Ma, The Computer Journal, Vol. 51 No. 1 Niedermeier presents a wider range of concrete problems and pronlem variants, highlighting many algorithmic tricks and applications. Daniel Marx, Mathematical Review The book is certainly value for money and I would highly recommend it as an essential purchase for a university library. Journal of the Operational Research Society

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