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NP Complete

NP-Complete

Feb 10, 20261 min read

  • computational-complexity
  • complexity-classes
  • np-complete

NP-Complete

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The hardest problems in NP: every problem in NP can be reduced to an NP-Complete problem in polynomial time. If any NP-Complete problem has a polynomial-time solution, then P = NP.

Key Properties

  • SAT
  • 3-SAT
  • Traveling Salesman (Decision)
  • Graph Coloring

Related

  • NP (NP-Complete problems are in NP)
  • NP-Hard (at least as hard)
  • Polynomial-Time Reductions (how NP-completeness is proved)

computational-complexity complexity-classes np-complete


Graph View

  • NP-Complete
  • Key Properties
  • Related

Backlinks

  • Complexity Classes
  • NP-Hard
  • NP
  • P vs NP Problem
  • Polynomial-Time Reductions
  • 3-SAT
  • Graph Coloring
  • SAT
  • Traveling Salesman (Decision)

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