Euclidean TSP in Narrow Strips

We investigate how the complexity of Euclidean TSP for point sets P inside the strip ( - ∞ , + ∞ ) × [ 0 , δ ] depends on the strip width  δ . We obtain two main results. For the case where the points have distinct integer x -coordinates, we prove that a shortest bitonic tour (which can be computed...

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Bibliographic Details

Published in:	Discrete & computational geometry Vol. 71; no. 4; pp. 1456 - 1506
Main Authors:	Alkema, Henk, de Berg, Mark, van der Hofstad, Remco, Kisfaludi-Bak, Sándor
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2024 Springer Nature B.V
Subjects:	Algorithms Combinatorics Computational Mathematics and Numerical Analysis Computer science Geometry Mathematics Mathematics and Statistics Strip Traveling salesman problem Bitonic TSP Computational geometry Euclidean TSP 68Q25 68W40 Fixed-parameter tractable algorithms
ISSN:	0179-5376, 1432-0444
Online Access:	Get full text
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