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Published online by Cambridge University Press: 14 November 2024
As in the symmetric case, there are two versions of the Asymmetric TSP and two corresponding LP relaxations. They are related to circulations in digraphs. Using again the splitting-off technique, we show that the two versions are equivalent, and we will present a third equivalent version.
We will also study the integrality ratio of the Asymmetric TSP LPs and show that it is at least 2, even for unweighted graph instances.
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