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Bounds for the traveling salesman paths of two-dimensional modular lattices

Author

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  • Florian Pausinger

    (TU München)

Abstract

We present tight upper and lower bounds for the traveling salesman path through the points of two-dimensional modular lattices. We use these results to bound the traveling salesman path of two-dimensional Kronecker point sets. Our results rely on earlier work on shortest vectors in lattices as well as on the strong convergence of Jacobi–Perron type algorithms.

Suggested Citation

  • Florian Pausinger, 2017. "Bounds for the traveling salesman paths of two-dimensional modular lattices," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1378-1394, May.
    • Handle: RePEc:spr:jcomop:v:33:y:2017:i:4:d:10.1007_s10878-016-0043-7
    DOI: 10.1007/s10878-016-0043-7
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