One solution to it is the Nearest Neighbor algorithm, which involves going from the current point to the adjacent edge with the lightest weight.
A metric version of this problem is the subject of the Christofides algorithm. One method of solving this problem is the Lin-Kerninghan method, which is a generalization of 2-opt and 3-opt and relies on pairwise exchange. One solution to it is the Nearest Neighbor algorithm, which involves going from the current point to the adjacent edge with the lightest weight. The Chinese postman problem is a dual of this problem, and a recent exact solution to one instance was done on a group of fifteen thousand German towns. FTP, name this NP-hard problem that involves minimizing the path that a person takes to visit every city on a given map.
A metric version of this problem is the subject of the Christofides algorithm.
{Traveling Salesman} Problem