The Random Link Approximation for the Euclidean Traveling Salesman Problem
نویسندگان
چکیده
The traveling salesman problem (TSP) consists of finding the length of the shortest closed tour visiting N "cities". We consider the Euclidean TSP where the cities are distributed randomly and independently in a d-dimensional unit hypercube. Working with periodic boundary conditions and inspired by a remarkable universality in the kth nearest neighbor distribution, we find for the average optimum tour length (LE) = 4E(d) N~~~/~
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