• Stephan Rosebrock

      Articles written in Proceedings – Mathematical Sciences

    • On the Complexity of Labeled Oriented Trees

      Stephan Rosebrock

      More Details Abstract Fulltext PDF

      We define a notion of complexity for labeled oriented trees (LOTs) related to the bridge number in knot theory and prove that LOTs of complexity 2 are aspherical. We also present a class of LOTs of higher complexity which is aspherical, give an upper bound for the complexity of labeled oriented intervals and study the complexity of torus knots.

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