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7 definitions found
From The Free On-line Dictionary of Computing (27 SEP 03) : [ foldoc ]
NP-complete
(NPC, Nondeterministic Polynomial time complete)
A set or property of computational decision problems which
is a subset of NP (i.e. can be solved by a
nondeterministic Turing Machine in polynomial time),
with the additional property that it is also NP-hard. Thus
a solution for one NP-complete problem would solve all
problems in NP. Many (but not all) naturally arising problems
in class NP are in fact NP-complete.
There is always a polynomial-time algorithm for transforming
an instance of any NP-complete problem into an instance of any
other NP-complete problem. So if you could solve one you
could solve any other by transforming it to the solved one.
The first problem ever shown to be NP-complete was the
satisfiability problem. Another example is Hamilton's
problem.
See also computational complexity, halting problem,
Co-NP, NP-hard.
http://fi-www.arc.nasa.gov/fia/projects/bayes-group/group/NP/)" rel="nofollow">(http://fi-www.arc.nasa.gov/fia/projects/bayes-group/group/NP/).
[Other examples?]
(1995-04-10)
From English Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-en-ALL-2023-07-27 ]
NP-complete
a.
(lb en computing theory of a decision problem) That is both NP
(solvable in polynomial time by a non-deterministic Turing machine) and
NP-hard (such that any (other) NP problem can be reduced to it in
polynomial time).
From English Wiktionary: English language only (2023-07-27) : [ dictinfo.com:wikt-en-en-2023-07-27 ]
NP-complete
a.
(lb en computing theory of a decision problem) That is both NP
(solvable in polynomial time by a non-deterministic Turing machine) and
NP-hard (such that any (other) NP problem can be reduced to it in
polynomial time).
From English Wiktionary: Western, Greek, and Slavonic languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western_Greek_Slavonic-2023-07-27 ]
NP-complete
a.
(lb en computing theory of a decision problem) That is both NP
(solvable in polynomial time by a non-deterministic Turing machine) and
NP-hard (such that any (other) NP problem can be reduced to it in
polynomial time).
From English Wiktionary: Western languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western-2023-07-27 ]
NP-complete
a.
(lb en computing theory of a decision problem) That is both NP
(solvable in polynomial time by a non-deterministic Turing machine) and
NP-hard (such that any (other) NP problem can be reduced to it in
polynomial time).
From English - German Ding/FreeDict dictionary ver. 1.9-fd1 : [ freedict:eng-deu ]
NP-complete /ˌɛnpˈiː kəmplˈiːt/
NP-vollständig [math.]
From English-suomi FreeDict+WikDict dictionary ver. 2023.05.29 : [ freedict:eng-fin ]
NP-complete /ˌɛnpˈiː kəmplˈiːt/
NP-täydellinen
both NP and NP-hard
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