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The x-and-y-axes travelling salesman problem

Listed author(s):
  • Çela, Eranda
  • Deineko, Vladimir
  • Woeginger, Gerhard J.
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    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.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 223 (2012)
    Issue (Month): 2 ()
    Pages: 333-345

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    Handle: RePEc:eee:ejores:v:223:y:2012:i:2:p:333-345
    DOI: 10.1016/j.ejor.2012.06.036
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    1. van Dal, Rene & van der Veen, Jack A. A. & Sierksma, Gerard, 1993. "Small and large TSP: Two polynomially solvable cases of the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 69(1), pages 107-120, August.
    2. van der Veen, Jack A. A. & Sierksma, Gerard & van Dal, Rene, 1991. "Pyramidal tours and the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 52(1), pages 90-102, May.
    3. Bagchi, Tapan P. & Gupta, Jatinder N.D. & Sriskandarajah, Chelliah, 2006. "A review of TSP based approaches for flowshop scheduling," European Journal of Operational Research, Elsevier, vol. 169(3), pages 816-854, March.
    4. Oda, Yoshiaki, 2002. "An asymmetric analog of van der Veen conditions and the traveling salesman problem (II)," European Journal of Operational Research, Elsevier, vol. 138(1), pages 43-62, April.
    5. Özpeynirci, Özgür & Köksalan, Murat, 2009. "Multiobjective traveling salesperson problem on Halin graphs," European Journal of Operational Research, Elsevier, vol. 196(1), pages 155-161, July.
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