Complexity Theory

Exploring the Limits of Efficient Algorithms
2005
ISBN: 978-3-540-21045-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 308 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1390 g

Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models

All topics are considered from an algorithmic point of view stressing the implications for algorithm design

Zielgruppe

Graduate

Autoren/Hrsg.

Wegener, Ingo

Weitere Mitwirkende

Pruim, R.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen

Inhaltsverzeichnis

Algorithmic Problems & Their Complexity.- Fundamental Complexity Classes.- Reductions — Algorithmic Relationships Between Problems.- The Theory of NP-Completeness.- NP-complete and NP-equivalent Problems.- The Complexity Analysis of Problems.- The Complexity of Approximation Problems — Classical Results.- The Complexity of Black Box Problems.- Additional Complexity Classes and Relationships Between Complexity Classes.- Interactive Proofs.- The PCP Theorem and the Complexity of Approximation Problems.- Further Topics From Classical Complexity Theory.- The Complexity of Non-uniform Problems.- Communication Complexity.- The Complexity of Boolean Functions.

Über Autor(innen)

The author is a full professor at the Computer Science Department of Dortmund University. He is the author of 8 monographs and more than 150 journal and conference articles. He was head of the German youth competition in computer science and has obtained the university medal for excellent teaching. He is an elected member of the German Academy of Sciences and was head of the committee reviewing computer research projects in Germany.