Spacefilling curves and the planar travelling salesman problem

Loren K. Platzman, John J. Bartholdi · Journal of the ACM · 1989

To construct a short tour through points in the plane, the points are sequenced as they appear along a spacefilling curve. This heuristic consists essentially of sorting, so it is easily coded and requires only O ( N ) memory and O ( N log N ) operations. Its performance is competitive with that of other fast methods.

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