NP-completeness

NP-completeness only refers to the run-time of the worst case instances.

Since queries tend to be small, NP-completeness here is usually considered acceptable.

Note that unlike NP-completeness, this term is typically used more informally.

NP-completeness was documented late 2002, enumeration results began appearing in May 2005.

It was the first book on the theory of NP-completeness and computational intractability.

There are many equivalent ways of describing NP-completeness.

To the right is a diagram of some of the problems and the reductions typically used to prove their NP-completeness.

Centered around the issues of machine-interpretation of "languages", NP-completeness, etc.

A book centered around the machine-interpretation of "languages", NP-Completeness, etc.

The NP-completeness of the achromatic number problem holds also for some special classes of graphs:

Rosamond's research in education also includes computer games, including methodology for systematically generating game puzzles utilizing NP-completeness.

NP-completeness: Testing whether a finite ground logic program has a stable model is NP-complete.

Computers and Intractability: a Guide to the Theory of NP-Completeness.

NP-completeness can be proven by reduction from 3-satisfiability or, as Karp did, by reduction from the clique problem.

Syndrome Decoding is originally a problem from coding theory but its NP-Completeness makes it a nice application for cryptography.

The NP-completeness of the problem can be shown, for example, by a transformation from maximum 2-satisfiability (a restriction of the maximum satisfiability problem).

Levin was awarded the Knuth Prize in 2012 for his discovery of NP-completeness and the development of average-case complexity.

Gadgets are typically used to construct reductions from one computational problem to another, as part of proofs of NP-completeness or other types of computational hardness.

To prove NP-completeness, it was shown that there is a polynomial reduction between the 3-partition problem, which is also NP-Complete, and the Tetris problem.

Early seminal papers in STOC include , which introduced the concept of NP-completeness (see also Cook-Levin theorem).

The weighted version of the decision problem was one of Karp's 21 NP-complete problems; Karp showed the NP-completeness by a reduction from the partition problem.

Uehara and Iwata (1990) dealt with the generalized Hi-Q problems which are equivalent to the peg solitaire problems and showed their NP-completeness.

To prove NP-completeness of the numerical 3-dimensional matching, the proof is similar, but a reduction from 3-dimensional matching via the numerical 4-dimensional matching problem should be used.

The concept of NP-completeness was developed in the late 1960s and early 1970s in parallel by researchers in the US and the USSR.

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