P, NP, and NP-completeness : the basics of computational complexity / Oded Goldreich.

Author/creator Goldreich, Oded
Format Book
Publication InfoNew York : Cambridge University Press, 2010.
Descriptionxxix, 184 pages : illustrations ; 24 cm
Supplemental ContentCover image
Subjects

Contents 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.
Abstract "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.
Bibliography noteIncludes bibliographical references and index.
LCCN 2010023587
ISBN9780521192484 (hardback)
ISBN052119248X (hardback)
ISBN9780521122542 (pbk.)
ISBN0521122546 (pbk.)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA267.7 .G652 2010 ✔ Available Place Hold