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- Sharp-P-complete abstract "#P-complete, pronounced "sharp P complete" or "number P complete" is a complexity class in computational complexity theory. By definition, a problem is #P-complete if and only if it is in #P, and every problem in #P can be reduced to it by a polynomial-time counting reduction, i.e. a polynomial-time Turing reduction relating the cardinalities of solution sets. Equivalently, a problem is #P-complete if and only if it is in #P, and for any non-deterministic Turing machine ("NP machine"), the problem of computing its number of accepting paths can be reduced to this problem.Examples of #P-complete problems include: How many different variable assignments will satisfy a given general boolean formula? (#SAT) How many different variable assignments will satisfy a given DNF formula? How many different variable assignments will satisfy a given 2SAT formula? How many perfect matchings are there for a given bipartite graph? What is the value of the permanent of a given matrix whose entries are 0 or 1? (See Permanent is sharp-P-complete.) How many graph colorings using k colors are there for a particular graph G? How many different linear extensions are there for a given partial order, or, equivalently, how many different topological orderings are there for a given directed acyclic graph?A polynomial-time algorithm for solving a #P-complete problem, if it existed, would imply P = NP, and thus P = PH. No such algorithm is currently known.".
- Sharp-P-complete wikiPageID "27925".
- Sharp-P-complete wikiPageRevisionID "577613945".
- Sharp-P-complete hasPhotoCollection Sharp-P-complete.
- Sharp-P-complete reason "hash".
- Sharp-P-complete title "#P-complete".
- Sharp-P-complete subject Category:Articles_with_inconsistent_citation_formats.
- Sharp-P-complete subject Category:Complexity_classes.
- Sharp-P-complete type Abstraction100002137.
- Sharp-P-complete type Class107997703.
- Sharp-P-complete type Collection107951464.
- Sharp-P-complete type ComplexityClasses.
- Sharp-P-complete type Group100031264.
- Sharp-P-complete comment "#P-complete, pronounced "sharp P complete" or "number P complete" is a complexity class in computational complexity theory. By definition, a problem is #P-complete if and only if it is in #P, and every problem in #P can be reduced to it by a polynomial-time counting reduction, i.e. a polynomial-time Turing reduction relating the cardinalities of solution sets.".
- Sharp-P-complete label "Numeral-P-completo".
- Sharp-P-complete label "Sharp-P-complet".
- Sharp-P-complete label "Sharp-P-complete".
- Sharp-P-complete label "Sharp-P-completo".
- Sharp-P-complete sameAs Numeral-P-completo.
- Sharp-P-complete sameAs Sharp-P-complet.
- Sharp-P-complete sameAs Sharp-P-completo.
- Sharp-P-complete sameAs 샤프-P-완전.
- Sharp-P-complete sameAs m.06yn3.
- Sharp-P-complete sameAs Q841545.
- Sharp-P-complete sameAs Q841545.
- Sharp-P-complete sameAs Sharp-P-complete.
- Sharp-P-complete wasDerivedFrom Sharp-P-complete?oldid=577613945.
- Sharp-P-complete isPrimaryTopicOf Sharp-P-complete.