Spacefilling curves and the planar travelling salesman problem

  title={Spacefilling curves and the planar travelling salesman problem},
  author={Loren K. Platzman and John J. Bartholdi},
  journal={J. ACM},
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 <italic>O</italic>(<italic>N</italic>) memory and <italic>O</italic>(<italic>N</italic> log <italic>N</italic>) operations. Its performance is competitive with that of other fast methods. 
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