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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, 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 wikiPageLength "5978".
- Sharp-P-complete wikiPageOutDegree "41".
- Sharp-P-complete wikiPageRevisionID "686300526".
- Sharp-P-complete wikiPageWikiLink 2-satisfiability.
- Sharp-P-complete wikiPageWikiLink Accepting_path.
- Sharp-P-complete wikiPageWikiLink Big_O_notation.
- Sharp-P-complete wikiPageWikiLink Cardinality.
- Sharp-P-complete wikiPageWikiLink Category:Articles_with_inconsistent_citation_formats.
- Sharp-P-complete wikiPageWikiLink Category:Complexity_classes.
- Sharp-P-complete wikiPageWikiLink Complexity_class.
- Sharp-P-complete wikiPageWikiLink Computational_complexity_theory.
- Sharp-P-complete wikiPageWikiLink Computing_the_permanent.
- Sharp-P-complete wikiPageWikiLink Counting_reduction.
- Sharp-P-complete wikiPageWikiLink Directed_acyclic_graph.
- Sharp-P-complete wikiPageWikiLink Disjunctive_normal_form.
- Sharp-P-complete wikiPageWikiLink Graph_(discrete_mathematics).
- Sharp-P-complete wikiPageWikiLink Graph_coloring.
- Sharp-P-complete wikiPageWikiLink Graph_theory.
- Sharp-P-complete wikiPageWikiLink Leslie_Valiant.
- Sharp-P-complete wikiPageWikiLink Linear_extension.
- Sharp-P-complete wikiPageWikiLink Mark_Jerrum.
- Sharp-P-complete wikiPageWikiLink Matching_(graph_theory).
- Sharp-P-complete wikiPageWikiLink Non-deterministic_Turing_machine.
- Sharp-P-complete wikiPageWikiLink PH_(complexity).
- Sharp-P-complete wikiPageWikiLink P_(complexity).
- Sharp-P-complete wikiPageWikiLink P_versus_NP_problem.
- Sharp-P-complete wikiPageWikiLink Partially_ordered_set.
- Sharp-P-complete wikiPageWikiLink Permanent.
- Sharp-P-complete wikiPageWikiLink Polynomial-time_approximation_scheme.
- Sharp-P-complete wikiPageWikiLink Polynomial-time_reduction.
- Sharp-P-complete wikiPageWikiLink Randomized_algorithm.
- Sharp-P-complete wikiPageWikiLink Reduction_(complexity).
- Sharp-P-complete wikiPageWikiLink Sharp-P.
- Sharp-P-complete wikiPageWikiLink Sharp-P-completeness_of_01-permanent.
- Sharp-P-complete wikiPageWikiLink Sharp-SAT.
- Sharp-P-complete wikiPageWikiLink Solution_set.
- Sharp-P-complete wikiPageWikiLink Time_complexity.
- Sharp-P-complete wikiPageWikiLink Topological_sorting.
- Sharp-P-complete wikiPageWikiLink Vertex_(graph_theory).
- Sharp-P-complete wikiPageWikiLink Vertex_cycle_cover.
- Sharp-P-complete wikiPageWikiLink Vijay_Vazirani.
- Sharp-P-complete wikiPageWikiLinkText "#P-Complete".
- Sharp-P-complete wikiPageWikiLinkText "#P-complete".
- Sharp-P-complete wikiPageWikiLinkText "#P-completeness".
- Sharp-P-complete wikiPageWikiLinkText "#P-hard".
- Sharp-P-complete wikiPageWikiLinkText "#P-hardness".
- Sharp-P-complete wikiPageWikiLinkText "Sharp-P-complete".
- Sharp-P-complete reason "hash".
- Sharp-P-complete title "#P-complete".
- Sharp-P-complete wikiPageUsesTemplate Template:Cite_book.
- Sharp-P-complete wikiPageUsesTemplate Template:ComplexityClasses.
- Sharp-P-complete wikiPageUsesTemplate Template:Correct_title.
- Sharp-P-complete subject Category:Articles_with_inconsistent_citation_formats.
- Sharp-P-complete subject Category:Complexity_classes.
- Sharp-P-complete hypernym Class.
- Sharp-P-complete type Class.
- Sharp-P-complete type Redirect.
- 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 "Sharp-P-complete".
- Sharp-P-complete sameAs Q841545.
- 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 wasDerivedFrom Sharp-P-complete?oldid=686300526.
- Sharp-P-complete isPrimaryTopicOf Sharp-P-complete.