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Physical review. E
The traveling salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We characterize the optimal cycle for every convex and increasing cost function when the points are thrown independently and with an identical probability distribution in a compact interval. We compute the average optimal cost for every number of points when the distance function is the square of the Euclidean distance. Wedoi:10.1103/physreve.97.052109 pmid:29906886 fatcat:pubbjws6breehpex2mdxgoesei