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The first iteration

As usual, we consider the TSP of Example 15.1.2. Let us choose the tour of weight 266 constructed using Christofides’ algorithm in Example 15.4.8 as our initial tour f; see Figure 15.8. During the first iteration of 2-OPT, the edges BeMu and NuSt are replaced with BeNu and MuSt; this yields the tour Be__ Nu__ Mu__ St__ Ba__ Fr__ Du__ Aa__ Ha__ Be of length 253; see Figure 1.10.

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