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arxiv: 1712.07332 · v1 · pith:IFMHLGWNnew · submitted 2017-12-20 · 🧮 math.GT

On the warping sum of knots

classification 🧮 math.GT
keywords knotswarpingminimalcharacterizeddegreesdiagramgivenknot
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The warping sum $e(K)$ of a knot $K$ is the minimal value of the sum of the warping degrees of a minimal diagram of $K$ with both orientations. In this paper, knots $K$ with $e(K) \le 3$ are characterized, and some knots $K$ with $e(K)=4$ are given.

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