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About: Unknotting problem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatComputationalProblemsyago:Abstraction100002137yago:Attribute100024264yago:Condition113920835yago:Difficulty114408086yago:Problem114410605diseaseyago:State100024720 New Facet based on Instances of this Class

In mathematics, the unknotting problem is the problem of algorithmically recognizing the unknot, given some representation of a knot, e.g., a knot diagram. There are several types of unknotting algorithms. A major unresolved challenge is to determine if the problem admits a polynomial time algorithm; that is, whether the problem lies in the complexity class P.