problems in NP in polynomial time. The concept of NP-completeness was introduced in 1971 (see Cook–Levin theorem), though the term NP-complete was introduced...

NP-complete. An important variant is where each clause has exactly three literals (3SAT), since it is used in the proof of many other NP-completeness...

To attack the P = NP question, the concept of NP-completeness is very useful. NP-complete problems are problems that any other NP problem is reducible...

computational complexity, strong NP-completeness is a property of computational problems that is a special case of NP-completeness. A general computational problem...

In computational complexity, an NP-complete (or NP-hard) problem is weakly NP-complete (or weakly NP-hard) if there is an algorithm for the problem whose...

computationally intractable, and it drove interest in the study of NP-completeness and the P versus NP problem. Karp's 21 problems are shown below, many with their...

computational problems that are co-NP-complete are those that are the hardest problems in co-NP, in the sense that any problem in co-NP can be reformulated as a...

S. (1979). Computers and Intractability: A Guide to the Theory of NP-Completeness. Series of Books in the Mathematical Sciences (1st ed.). New York:...

Publishing. ISBN 0-534-94728-X. Sections 7.3–7.5 (The Class NP, NP-completeness, Additional NP-complete Problems), pp. 241–271. David Harel, Yishai Feldman....

Theory of NP-Completeness is a textbook by Michael Garey and David S. Johnson. It was the first book exclusively on the theory of NP-completeness and computational...

versus NP problem, which is still widely considered the most important unsolved problem in theoretical computer science. The concept of NP-completeness was...

Addison-Wesley. ISBN 0-201-44124-1. Chap. 11. Goldreich, Oded (2010). P, NP, and NP-completeness: The Basics of Computational Complexity. Cambridge University Press...

Look up np in Wiktionary, the free dictionary. NP may refer to: NP (novel), by Japanese author Banana Yoshimoto Nashua-Plainfield Community School District...

NP-completeness, and proved the existence of an NP-complete problem by showing that the Boolean satisfiability problem (usually known as SAT) is NP-complete...

S. (1979). Computers and Intractability: A Guide to the Theory of NP-Completeness. Series of Books in the Mathematical Sciences (1st ed.). New York:...

of NP-complete problems, as shown in Michael Garey and David S. Johnson's book Computers and Intractability: A Guide to the Theory of NP-Completeness and...

is GI-complete, as are several other related problems. Karp's 21 NP-complete problems MIT OpenCourseWare: 16. Complexity: P, NP, NP-completeness, Reductions...

independently discovered the existence of NP-complete problems. This NP-completeness theorem, often called the Cook–Levin theorem, was a basis for one of...

position of the problem in the class NP as well as in other complexity classes.) Johnson, David S. (2005), "The NP-Completeness Column", ACM Transactions on Algorithms...

be NP-complete. This was proven by Friedman (2002) by constructing puzzles equivalent to arbitrary Boolean circuits, which shows NP-completeness because...

3-satisfiability (NAE3SAT) is an NP-complete variant of the Boolean satisfiability problem, often used in proofs of NP-completeness. Like 3-satisfiability, an...

can be reduced to the other satisfiability problems to prove their NP-completeness. The satisfiability of a circuit containing m {\displaystyle m} arbitrary...

Stearns and the 1979 book by Michael Garey and David S. Johnson on NP-completeness, the term "computational complexity" (of algorithms) has become commonly...

to be NP-complete, by a reduction from 3-dimensional matching. The classic reference by Garey and Johnson (1979) describes an NP-completeness proof,...

original (PDF) on 9 June 2019. — An open-access paper explaining Kaye's NP-completeness result. Richard Kaye's Minesweeper pages Microsoft Minesweeper playable...

unsolved P versus NP problem asks if all problems in NP have polynomial-time algorithms. All the best-known algorithms for NP-complete problems like 3SAT...

Research, 311 (1):36-55, 2023. Wojtczak, Dominik (2018). "On Strong NP-Completeness of Rational Problems". Computer Science – Theory and Applications....

S. (1979), Computers and Intractability: A Guide to the Theory of NP-Completeness, W.H. Freeman, ISBN 978-0-7167-1045-5. A2.1: ND1, p. 206.{{citation}}:...

reductions from one computational problem to another, as part of proofs of NP-completeness or other types of computational hardness. The component design technique...

"Section 7.4: Polynomial Space Completeness", Computers and Intractability: A Guide to the Theory of NP-Completeness, W.H. Freeman, pp. 170–177, ISBN 0-7167-1045-5...