Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. A polynomial algorithm for a constrained traveling salesman problem. (English) Zbl 0990.90102 Networks 38, No. 2, 68-75 (2001). Summary: We give a polynomial-time algorithm for finding a solution to the Traveling Salesman Problem when the points given are constrained to lie on a fixed set of smooth curves of finite length. Cited in 3 Documents MSC: 90C27 Combinatorial optimization 90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut Keywords:Euclidean traveling salesman problem × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Nearly linear time approximation schemes for Euclidean TSP and other geometric problems. Proc 38th Ann Symp on Foundations of Computer Science, 1997. [2] Cutler, Networks 10 pp 183– (1980) · Zbl 0442.90094 · doi:10.1002/net.3230100302 [3] De?ineko, Inf Process Lett 51 pp 141– (1994) · Zbl 0806.90121 · doi:10.1016/0020-0190(94)00071-9 [4] De?ineko, Inf Process Lett 59 pp 295– (1996) · Zbl 0900.68326 · doi:10.1016/0020-0190(96)00125-1 [5] and Computers and intractability, A guide to the theory of NP-completeness, Freeman, San Francisco, 1979. [6] and ?Computational complexity,? The travelling salesman problem, et al. (Editors), Wiley, Chichester, 1985, Chapter 4. [7] and (Editors), The travelling salesman problem, Wiley, Chichester, 1985. [8] and Approximating geometrical graphs via ?spanners? and ?banyans?, STOC ’98, ACM, New York, 1999, pp. 540-550. · Zbl 1027.68651 [9] Rote, Networks 22 pp 91– (1992) · Zbl 0783.90118 · doi:10.1002/net.3230220106 [10] Rubinstein, SIAM J Discr Math 10 pp 1– (1997) · Zbl 0869.05023 · doi:10.1137/S0895480192241190 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.