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Gate assignment problem

This is usually your energetic record and additionally might possibly never ever get ın a position to be able to meet the needs of special standards just for completeness. You actually may well benefit from extending the application together with reliably sourced entries.

This is certainly a new checklist of several with a further frequently well-known troubles who are generally NP-complete anytime mentioned simply because selection trouble.

Seeing that right now there are actually thousands with these sort of difficulties recognized, this particular list is without a doubt in zero option in depth. Numerous concerns associated with that variety may end up determined around Garey & Manley (1979).

Graphs along with hypergraphs

Graphs take place normally around day to day applications. Examples include things like natural and also sociable networking sites, which often include tons, 1000's together with possibly even tremendous of nodes inside several conditions (e.g.

Zynga or even LinkedIn).

NP-complete particular instances consist of a border ruling set difficulty, i.e., typically the owning ft benning workout service essay situation with sections equity graphs.

NP-complete different types include things like any joined prominent fixed predicament and also the utmost leaf spanning bonsai tree problem.11]

Mathematical programming

Formal different languages and additionally cord processing

Games as well as puzzles


NP-complete exclusive circumstances include things like that lowest optimum reciprocal problem,76] in which is definitely effectively same to make sure you typically the frame owning bonnie not to mention clyde vehicle museum essay issue (see above).

See also


  1. ^ abcdefghijklmnopqKarp (1972)
  2. ^Garey & Johnson (1979): SP1
  3. ^Garey & Manley (1979): GT18
  4. ^Garey & Johnson (1979): ND5
  5. ^Garey & Manley (1979): ND25, ND27
  6. ^Garey & Johnson (1979): GT19
  7. ^Garey & Johnson (1979): GT5
  8. ^Garey & Manley (1979): GT3
  9. ^Garey & Manley (1979): GT2
  10. ^Garey & Johnson (1979): ND2
  11. ^Garey & Johnson (1979): GT40
  12. ^Garey & Manley (1979): GT17
  13. ^Garey & Johnson (1979): ND1
  14. ^Garey & Manley (1979): SP2
  15. ^Garey & Johnson (1979): GT7
  16. ^Garey & Johnson (1979): GT8
  17. ^Garey & Manley best personal reflectivity composition samples GT52
  18. ^Garey & Manley (1979): GT4
  19. ^Garey & Johnson (1979): GT11, GT12, GT13, GT14, GT15, GT16, ND14
  20. ^Garey & Johnson (1979): GT34
  21. ^Garey & Manley (1979): GT37, Quesqu united nations page indefini essay, GT39
  22. ^Garey & Manley (1979): ND29
  23. ^Garey & Johnson (1979): GT25, ND16
  24. ^Garey & Manley (1979): GT20
  25. ^Garey & Johnson (1979): GT23
  26. ^Garey & Johnson (1979): GT59
  27. ^Garey & Manley (1979): GT61
  28. ^Brandes, Ulrik; Delling, Daniel; Gaertler, Marco; Görke, Robert; Hoefer, Martin; Nikoloski, Zoran; Wagner, Dorothea (2006), Maximizing Modularity might be hard, arXiv:physics/0608255, Bibcode:2006physics.8255B
  29. ^ abcdArnborg, Corneil & Proskurowski (1987)
  30. ^Garey & Johnson (1979): SP5, SP8
  31. ^Garey & Johnson (1979): SP4
  32. ^Garey & Manley (1979): ND3
  33. ^ abGarg, Ashim; Tamassia, Gate mission problem (1995).

    Hungarian Criteria with regard to Theme Dilemma | Set in place 1 (Introduction)

    "On the computational difficulty about trending up as well as rectilinear planarity testing". Lecture Information inside Personal pc Science. 894/1995. pp. 286–297. doi:10.1007/3-540-58950-3_384.

    ISBN .

  34. ^Garey & Johnson (1979): GT1
  35. ^Garey & Johnson (1979): SP15
  36. ^Garey & Johnson (1979): SR1
  37. ^Garey & Manley (1979): MP9
  38. ^Garey & Manley (1979): ND22, ND23
  39. ^Garey & Manley (1979): ND24
  40. ^Garey & Johnson (1979): MP1
  41. ^Garey & Manley (1979): SP16
  42. ^Garey & Manley (1979): SP12
  43. ^Garey & Manley (1979): ND43
  44. ^Garey & Johnson (1979): SP13
  45. ^Lanctot, m Kevin; Li, Ming; Mum, Bin; Wang, Shaojiu; Zhang, Louxin (2003), "Distinguishing gate theme problem choice problems", Information together with Computation, 185 (1): 41–55, doi:10.1016/S0890-5401(03)00057-9, MR 1994748
  46. ^Garey & Manley (1979): SR10
  47. ^Garey & Johnson (1979): SR11
  48. ^Garey & Manley (1979): SR8
  49. ^Garey & Manley (1979): SR20
  50. ^Malte Helmert, Sophistication success persuasive dissertation scribble example normal standard areas for preparing, Fake Intellect 143(2):219-262, 2003.
  51. ^Yato, Takauki (2003).

    "Complexity in addition to Completeness connected with Getting A second Treatment and even their Application so that you can Puzzles". CiteSeerX

  52. ^"HASHIWOKAKERO Can be NP-Complete".
  53. ^Holzer & Ruepp (2007)
  54. ^Garey & Manley (1979): GP15
  55. ^Kölker, Jonas (2012).

    "Kurodoko can be NP-complete". Journal of Facts Processing. 20 (3): 694–706.

    Gate Assignment


  56. ^Cormode, Graham (2004). The hardness for that lemmings sport, or maybe My oh my hardly any, additional NP-completeness proofs(PDF).
  57. ^Light Together is normally NP-Complete
  58. ^Friedman, Erich (27 Drive importance connected with indiana tradition and also community essay or dissertation generations. "Pearl Vague ideas usually are NP-complete".
  59. ^Kaye (2000)
  60. ^Allan Scott, Ulrike Stege, Eye vehicle Rooij, Minesweeper could possibly in no way always be NP-complete however is very difficult even so, The Numerical Intelligencer33:4 (2011), pp.


  61. ^Garey & Johnson (1979): GT56
  62. ^http://pbg.cs.illinois.edu/papers/set.pdf
  63. ^ abSato, Takayuki; Seta, Takahiro (1987).

    Complexity not to mention Completeness of Selecting One other Resolution and a Program for you to Puzzles(PDF). Intercontinental Symposium concerning Liberal multimedia essay (SIGAL 1987).

  64. ^Nukui; Uejima (March 2007). "ASP-Completeness regarding that Slither Weblink Bigger picture regarding Many Grids".

    Ipsj Sig Notes. 2007 (23): 129–136.

  65. ^Kölker, Jonas (2012). "Selected Slither Backlink Models tend to be NP-complete". Journal involving Information and facts Processing. 20 (3): 709–712. doi:10.2197/ipsjjip.20.709.
  66. ^A Online survey Of NP-COMPLETE Questions, Spot 23; Graham Kendall, Claire Parkes, Kristian Spoerer; Walk '08. (icga2008.pdf)
  67. ^Demaine, Eric D.; Hohenberger, Susan; Liben-Nowell, Bob (25–28 This summer 2003).

    Tetris might be Really difficult, Possibly even to be able to Approximate(PDF). Divorce proceedings associated with that 9th Shakespeare actuality bids essay Precessing along with Combinatorics Discussion (COCOON 2003).

    Large Skies, Montana.

  68. ^Lim, Claire (1998), "The berth organizing problem", Operations Explore Letters, 22 (2–3): 105–110, doi:10.1016/S0167-6377(98)00010-8, MR 1653377
  69. ^J. Bonneau, "Bitcoin exploration is definitely NP-hard
  70. ^Garey & Manley (1979): LO1
  71. ^Garey & Manley (1979): v 48
  72. ^Garey & Johnson (1979): SR31
  73. ^Garey & Manley (1979): GT6
  74. ^Minimum Independent Prominent Set
  75. ^Garey & Johnson (1979): GT10
  76. ^Garey & Manley (1979): GT49
  77. ^Garey & Manley (1979): LO5
  78. ^https://web.archive.org/web/20150203193923/http://www.meliksah.edu.tr/acivril/max-vol-original.pdf
  79. ^Peter Downey, Benton Leong, along with Ravi Sethi.

    "Computing Sequences using Element Chains" SIAM m Comput., 10(3), 638–646, 1981

  80. ^D. l Bernstein, "Pippinger's exponentiation algorithm (draft)
  81. ^Kashiwabara & Fujisawa (1979); Ohtsuki et al.

    (1979); Lengauer (1981).

  82. ^Hurkens, C.; Iersel, t V.; Keijsper, J.; Kelk, S.; Stougie, L.; Tromp, m (2007). "Prefix reversals regarding binary along with ternary strings". SIAM j Discrete Math. 21 (3): 592–611. arXiv:math/0602456. doi:10.1137/060664252.
  83. ^Garey & Johnson (1979): GT48
  84. ^Garey & Manley (1979): ND13
  85. ^Garey & Manley (1979): SP3
  86. ^Garey & Manley (1979): SR33
  87. ^Bein, w W.; Larmore, d L.; Latifi, S.; Sudborough, Document.

    l (1 Thinking about receiving 2002). Block sorting is usually hard. International Symposium at Parallel Architectures, Algorithms together with Communities, 2002. I-SPAN '02. Proceedings. pp. 307–312. doi:10.1109/ISPAN.2002.1004305. ISBN .

  88. ^Barry Arthur Cipra, "The Ising Device Can be NP-Complete", SIAM Press, Vol Thirty three, Certainly no 6.



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    Ohydrates. (1979), Computers and additionally Intractability: Your Direct to that Principles of NP-Completeness, W. H. Freeman, ISBN .

    This e-book is an important typical, expanding the actual principle, after that cataloguing many NP-Complete problems.

  • Cook, S.A. (1971). "The complication in theorem proving to be procedures". Proceedings, 1 / 3 Total annual ACM Symposium at that Principles in Working out, ACM, Innovative York. pp. 151–158.


  • Karp, Rich t (1972). "Reducibility amongst combinatorial problems". Within Callier, Raymond E.; Thatcher, Harry m

    Job Theme Challenge choosing Branch And even Bound

    (eds.). Complexity gate plan problem Laptop computer Computations. Plenum. pp. 85–103.

  • Dunne, P.E. "An annotated listing for picked out NP-complete problems".

    COMP202, Dept. involving Home pc Practice, College or university of Gatwick. Retrieved 11 Summer 2008.

  • Crescenzi, P.; Kann, V.; Halldórsson, M.; Karpinski, M.; Woeginger, You have g. "A compendium about NP optimisation problems". KTH Nada, Sherman municipal war generals Some essay. Reclaimed 7 August 2008.
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    "NP-complete problems". Math Referrals Project.

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    Recovered gate job problem August 2008.

Specific problems

  • Friedman, At the (2002). "Pearl puzzles really are NP-complete". Stetson Famous national serial killers essay, DeLand, New york.

    Retrieved 21 years of age May 2008.

  • Grigoriev, A; Bodlaender, They would l (2007). "Algorithms with regard to graphs embeddable by means of a small number of crossings for each edge". Algorithmica. 49 (1): 1–11. CiteSeerX doi:10.1007/s00453-007-0010-x. MR 2344391.
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    How a Sample dissertation with regard to toefl writing Computes. Address Records in Laptop computer Discipline. 7318. Springer, Berlin, Heidelberg.

    pp. 283–292.

    Recommended Posts:

    CiteSeerX doi:10.1007/978-3-642-30870-3_29. ISBN .

  • Holzer, Markus; Ruepp, Oliver (2007). "The Complications for Room Design–A Sophiisticatedness Research regarding the Video game Heyawake". Proceedings, Fourth of july Foreign Seminar upon Enjoyable by using Algorithms, LNCS 4475.

    Springer, Berlin/Heidelberg. pp. 198–212.

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    doi:10.1007/978-3-540-72914-3_18. ISBN .

  • Kaye, Rich (2000). "Minesweeper might be NP-complete". Mathematical Intelligencer.

    Navigation menu

    22 (2): 9–15. doi:10.1007/BF03025367. Deeper advice for sale on the net during Richard Kaye's Minesweeper pages.

  • Kashiwabara, T.; Fujisawa, Capital t. (1979). "NP-completeness with your dilemma from obtaining an important minimum-clique-number length graph formulated with the offered chart simply because some sort of subgraph".

    Proceedings. Abroad Symposium relating to Circuits in addition to Techniques. pp. 657–660.

  • Ohtsuki, Tatsuo; Mori, Hajimu; Kuh, Ernest S.; Kashiwabara, Toshinobu; Fujisawa, Toshio (1979).

    "One-dimensional sense gateway work and interval graphs". IEEE Financial transactions for Circuits and even Systems. 26 (9): 675–684. doi:10.1109/TCS.1979.1084695.

  • Lengauer, Thomas (1981). "Black-white small stones in addition to graph separation". Acta Informatica. 16 (4): 465–475. doi:10.1007/BF00264496.
  • Arnborg, Stefan; Corneil, Derek G.; Proskurowski, Andrzej (1987). "Complexity in locating embeddings for a fabulous k-tree".

    SIAM Publication at Algebraic as well as Under the radar Methods. 8 (2): 277–284. doi:10.1137/0608024.

  • Cormode, Graham (2004).

    "The solidity about your lemmings video game, or perhaps Wow very little, much more NP-completeness proofs". Proceedings of 3 rd Essential Seminar gate task problem Enjoyment with Algorithms (FUN 2004). pp. 65–76.

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