On the Travelling Salesperson Problem in Many Dimensions
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Consider d ⩾ 2, and m points X1, …, Xm that are independent uniformly distributed in [0, 1]d. It is well known that the length Tm of the shortest tour through X1, …, Xm satisfies limm∞ E(Tm)/m1−1/d = β(d) for a certain number β(d). We show that for some numerical constant K,
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