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arXiv · 1606.02978

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

Florian Pausinger
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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.

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Florian Pausinger. 2016-06-09. Bounds for the traveling salesman paths of two-dimensional modular lattices. https://arxiv.org/abs/1606.02978

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