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The Cartographer
Time complexity of the Analyst's Traveling Salesman algorithm
February 21, 2022 Β· Declared Dead Β· π Journal of Logic and Analysis
"No code URL or promise found in abstract"
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Authors
Anthony Ramirez, Vyron Vellis
arXiv ID
2202.10314
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CC,
cs.CG,
math.MG
Citations
1
Venue
Journal of Logic and Analysis
Last Checked
4 months ago
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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