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The Cartographer
Solving a Random Asymmetric TSP Exactly in Quasi-Polynomial Time w.h.p
August 05, 2023 Β· Declared Dead Β· π Random Structures & Algorithms
"No code URL or promise found in abstract"
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Authors
Tolson Bell, Alan Frieze
arXiv ID
2308.02946
Category
cs.DS: Data Structures & Algorithms
Cross-listed
math.CO
Citations
2
Venue
Random Structures & Algorithms
Last Checked
4 months ago
Abstract
Let the costs $C(i,j)$ for an instance of the Asymmetric Traveling Salesperson Problem (ATSP) be independent copies of a non-negative random variable $C$ from a class of distributions that include the uniform $[0,1]$ distribution and the exponential mean 1 distribution with mean 1. We describe an algorithm that solves ATSP exactly in time $e^{\log^{2+o(1)}n}$, w.h.p.
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