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A Special Trefoil Knot Has Two or More Vertices

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Abstract.

In this paper it will be shown that a special trefoil knot has at least two vertices, i.e., the torsion vanishes at two distinct points. Also a natural generalization to special knots will be established. Moreover it will be considered a class of special trefoil knots that have four or more vertices.

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  1. Instituto de Matemática e Estatística, Universidade Federal de Goiás, CEP 74001–970, Caixa Postal 131, Goiânia, Goiás, Brazil

    Ronaldo Garcia

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  1. Ronaldo Garcia
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Correspondence to Ronaldo Garcia.

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Garcia, R. A Special Trefoil Knot Has Two or More Vertices. Result. Math. 50, 43–51 (2007). https://doi.org/10.1007/s00025-006-0234-0

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  • DOI: https://doi.org/10.1007/s00025-006-0234-0

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