Computational Complexity (Paperback)
Christos H. Papadimitriou
- 出版商: Pearson
- 出版日期: 1993-12-10
- 售價: $1,100
- 貴賓價: 9.8 折 $1,078
- 語言: 英文
- 頁數: 523
- 裝訂: Paperback
- ISBN: 0201530821
- ISBN-13: 9780201530827
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This text offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. Among topics covered are: reductions and NP-completeness, cryptography and protocols, randomized algorithms, and approximability of optimization problems, circuit complexity, the "structural" aspects of the P=NP question, parallel computation, the polynomial hierarchy, and many others. Several sophisticated and recent results are presented in a rather simple way, while many more are developed in the form of extensive notes, problems, and hints. The book is surprisingly self-contained, in that it develops all necessary mathematical prerequisites from such diverse fields as computability, logic, number theory, combinatorics and probability.
2. Turing Machines.
2. First Order Logic.
3. Undecidability in Logic.
III. P AND NP.
2. Reductions and Completeness.
3. NP-Complete Problems.
4. coNP and Function Problems.
5. Randomized Computation.
8. On P vs. NP.
IV. INSIDE P.
2. Logarithmic Space.
V. BEYOND NP.
2. Computation That Counts.
3. Polynomial Space.
4. A Glimpse Beyond. 0201530821T04062001