• On the Complexity of Labeled Oriented Trees

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    • Keywords


      Asphericity; 2-complexes; complexity; labeled oriented trees.

    • Abstract


      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.

    • Author Affiliations


      Stephan Rosebrock1

      1. University of Education, Postfach 11 10 62, 76060 Karlsruhe, Germany
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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