Vladimir G. Deineko, Renevan Dal, Günter Rote  Home/Search
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Abstract: We solve the special case of the Euclidean Traveling Salesman Problem where n#m cities lie on the boundary of the convex hull of all n cities, and the other m cities lie on a line segment inside this convex hull by an algorithm which needs O(mn) time and O(n) space. (Update)
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...parallel but might be slightly perturbated and slightly rotated without destroying polynomial solvability. Deineko, Van Dal and Rote [2] investigated another special case, the convex hull and line TSP: Here n Gamma m cities lie on the Lcf Free Tours for the TSP 3 Q Q Q...
.... ae ae ae ae ae ae X X X X X Gamma Gamma l l l Figure 2: Illustrations to the N line TSP In 1994, Deineko, Van Dal and Rote [37] investigated another related special case, the convexhull and line TSP. Here n Gamma m cities lie on the boundary of the convex hull...
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BibTeX entry: (Update)
V. Deineko, R. Van Dal and G. Rote, The convex-hull-and-line traveling salesman problem: a solvable case, Information Processing Letters 51, 1994, 141--148. http://citeseer.ist.psu.edu/deineko92convexhullline.html More
@article{ deineko94convexhullline,
author = "Vladimir G. Deineko and Rene van Dal and G{\"u}nter Rote",
title = "The Convex-Hull-and-Line Traveling Salesman Problem: A Solvable Case",
journal = "Information Processing Letters",
volume = "51",
number = "3",
pages = "141-148",
year = "1994",
url = "citeseer.ist.psu.edu/deineko92convexhullline.html" }
Citations (may not include all citations):57 Geometric applications of a matrix-searching algorithm (context) - Aggarwal, Klawe et al. - 1987
14 The traveling-salesman problem (context) - Flood - 1956
12 The Euclidean traveling salesman problem is NP - complete (context) - Papadimitriou - 1977
7 On some properties of shortest Hamiltonian circuits (context) - Quintas - 1965
6 line traveling salesman problem (context) - Rote - 1992
2 cient special case algorithms for the N-line planar travelin.. (context) - Cutler - 1980
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