The x-and-y-axes travelling salesman problem

Eranda Çela, Vladimir Deineko and Gerhard J. Woeginger

European Journal of Operational Research, 2012, vol. 223, issue 2, 333-345

Abstract: The x-and-y-axes travelling salesman problem forms a special case of the Euclidean TSP, where all cities are situated on the x-axis and on the y-axis of an orthogonal coordinate system of the Euclidean plane. By carefully analyzing the underlying combinatorial and geometric structures, we show that this problem can be solved in polynomial time. The running time of the resulting algorithm is quadratic in the number of cities.

Keywords: Combinatorial optimization; Polynomial-time algorithm; Computational complexity; Euclidean travelling salesman problem (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:223:y:2012:i:2:p:333-345

DOI: 10.1016/j.ejor.2012.06.036

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