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np_complete (904B)


      1 # NP-complete
      2 
      3 https://en.wikipedia.org/wiki/NP-completeness
      4 
      5 Problem which is in [nptime] and [np_hard]
      6 
      7 - problems:
      8   - [3_partition]
      9   - [bin_packing]
     10   - [3_dimensional_matching]
     11   - [knapsack]
     12   - [subset_sum] mais [pseudo_polynomial_time] algorithm
     13   - [hitting_set]
     14   - https://en.wikipedia.org/wiki/List_of_NP-complete_problems
     15   - [garey_johnson]
     16   - 1972: the first 21 NP-complete problems of Karp
     17   - [minimum_vertex_cover]
     18   - [maximum_independent_set]
     19 
     20 weakly NP-complete ou [strongly_np_complete] depending on whether there exist
     21 [pseudo_polynomial_time] algorithms
     22 
     23 different notions of [reduction]?
     24 - it is open whether [np_complete] problems under [logspace_reduction] and [ptime_reduction] are different, cf https://en.wikipedia.org/wiki/Log-space_reduction
     25 
     26 Up: [complete] for [nptime]
     27 
     28 See also: [intractability], [np_hard], [conp_complete]
     29 
     30 Aliases: NP-completeness, NP_completeness