Euclidean travelling salesman tour
= Euclidean travelling salesman tour
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{title2=$\operatorname{TS}(X)$}
= Euclidean traveling salesman tour
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{synonym}
A closed polygonal tour through a finite point set, measured using <Euclidean distance>. Write $\operatorname{TS}(X)$ for the minimum length over cyclic visiting orders. A two-point tour traverses its segment twice; a one-point tour has length zero. The <triangle inequality> allows repeated visits to be shortcut when estimating this minimum.