Polynomial-time algorithms for the curve graph

Mark C. Bell; Richard C. H. Webb

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arXiv · 1609.09392

Polynomial-time algorithms for the curve graph

Mark C. Bell·Richard C. H. Webb

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Abstract

We describe a polynomial-time algorithm to compute a (tight) geodesic between two curves in the curve graph. As well as enabling us to compute the distance between a pair of curves, this has several applications to mapping classes. For example, we can use these geodesics to compute the asymptotic translation length, Nielsen--Thurston type, and canonical curve system of a mapping class in polynomial time in its word length.

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BibTeX RIS

Mark C. Bell, Richard C. H. Webb. 2016-09-29. Polynomial-time algorithms for the curve graph. https://arxiv.org/abs/1609.09392

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