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I know the double tree algorithm and Christofides algorithm with 1.5 approximation ratio. We got this question from the teacher.

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  • $\begingroup$ Just to clarify, your teacher asked if there is a 3-approximation algorithm for TSP? What definition of an $\alpha$-approximation algorithm are you using? By the standard definition, if $\beta \leq \alpha$ then any $\beta$-approximation algorithm is also an $\beta$-approximation algorithm. $\endgroup$ Commented Jan 25 at 19:17
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    $\begingroup$ Do you know more about the class of instances, e.g. is it metric? $\endgroup$
    – Pål GD
    Commented Jan 25 at 19:22

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