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arXiv · 2202.10314

Time complexity of the Analyst's Traveling Salesman algorithm

Anthony Ramirez·Vyron Vellis
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Abstract

The Analyst's Traveling Salesman Problem asks for conditions under which a (finite or infinite) subset of $\mathbb{R}^N$ is contained on a curve of finite length. We show that for finite sets, the algorithm constructed by Schul (2007)and Badger-Naples-Vellis (2019) that solves the Analyst's Traveling Salesman Problem has polynomial time complexity and we determine the sharp exponent.

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Anthony Ramirez, Vyron Vellis. 2022-02-21. Time complexity of the Analyst's Traveling Salesman algorithm. https://arxiv.org/abs/2202.10314

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