Complexity Theory : Exploring the Limits of Efficient Algorithms
- Author
- Ingo Wegener
- Publication Year
- 2005
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Computer Science
- Download Book Read book
Complexity theory is the theory of determining the necessary resources for the solution of algorithmic problems and, therefore, the limits of what is possible with the available resources. An understanding of these limits prevents the search for non-existing efficient algorithms. This textbook considers randomization as a key concept and emphasizes the interplay between theory and practice: New branches of complexity theory continue to arise in response to new algorithmic concepts, and its results - such as the theory of NP-completeness - have influenced the development of all areas of computer science. The topics selected have implications for concrete applications, and the significance of complexity theory for today's computer science is stressed throughout.
Keywords: Computer science / Black-box problem / Boolean function / Communication Complexity / Complexity Theory / Interactive proof / NP-Completeness / O-nation / PCP-Theorem / Randomization / Theoretical Computer science / Algorithm design / Algorithms / Communication / Complexity
