Articles written in Proceedings – Mathematical Sciences
Volume 120 Issue 1 February 2010 pp 11-18
On the Complexity of Labeled Oriented Trees
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.
Volume 133, 2023
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