P, NP, and NP-completeness the basics of computational complexity Oded Goldreich
Publication details: New York Cambridge University Press 2010Description: xxix, 184 p ill 24 cmISBN:- 9780521122542 (Paper)
- 0521122546 (Paper)
- 005.1
Item type | Current library | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|
Carti | IMAR | II 36899 (Browse shelf(Opens below)) | Checked out | 04/18/2025 | 0030450 |
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Machine generated contents note: 1. Computational tasks and models; 2. The P versus NP Question; 3. Polynomial-time reductions; 4. NP-completeness; 5. Three relatively advanced topics; Epilogue: a brief overview of complexity theory
"The focus of this book is the P-versus-NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P-versus-NP Question asks whether or not finding solutions is harder than checking the correctness of solutions. An alternative formulation asks whether or not discovering proofs is harder than verifying their correctness. It is widely believed that the answer to these equivalent formulations is positive, and this is captured by saying that P is different from NP. Although the P-versus-NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural computational problems arising in many different areas of mathematics and science are NP-complete"--Provided by publisher
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