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arxiv: 1512.08341 · v2 · pith:IBZVZCGZnew · submitted 2015-12-28 · 🧮 math.GT

Counting components of an integral lamination

classification 🧮 math.GT
keywords algorithmcomponentscoordinatesdynnikovintegrallaminationabsolutearithmetic
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We present an efficient algorithm for calculating the number of components of an integral lamination on an $n$-punctured disk, given its Dynnikov coordinates. The algorithm requires $O(n^2M)$ arithmetic operations, where $M$ is the sum of the absolute values of the Dynnikov coordinates.

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