Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle
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Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle

  • Author(s): Hass, Joel
  • Nowik, Tahl
  • et al.
Abstract

Given any knot diagram E, we present a sequence of knot diagrams of the same knot type for which the minimum number of Reidemeister moves required to pass to E is quadratic with respect to the number of crossings. These bounds apply both in S 2 and in ℝ2.

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