Gao, JunSteele, John M2023-05-232023-05-231994-05-012016-06-24https://repository.upenn.edu/handle/20.500.14332/42171The sum of squares of the edge lengths of the tour provided by the spacefilling curve heuristic applied to a random sample of n points from the unit square is proved to be asymptotically equal to a periodic function of the logarithm of the sample size.spacefilling curvestraveling salesman problem (TSP)minimal spanning treecombinatorial optimizationorder statisticssums of squaresMathematicsScience and Mathematics EducationSums of Squares of Edge Lengths and Spacefilling Curve Heuristics for the Traveling Salesman ProblemArticle