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The Cartographer
Using a Hamiltonian cycle problem algorithm to assist in solving difficult instances of Traveling Salesman Problem
May 19, 2017 Β· Declared Dead Β· π arXiv.org
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Authors
Vladimir Ejov, Michael Haythorpe, Serguei Rossomakhine
arXiv ID
1705.06855
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We describe a hybrid procedure for solving the traveling salesman problem (TSP) to provable optimality. We first sparsify the instance, and then use a hybrid algorithm that combines a branch-and-cut TSP solver with a Hamiltonian cycle problem solver. We demonstrate that this procedure enables us to solve difficult instances to optimality, including one which had remained unsolved since its construction in 2002.
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