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Improvements of the Held-Karp algorithm for the symmetric traveling- salesman problem. (English) Zbl 0285.90055

MSC:
90C10 Integer programming
65K05 Numerical mathematical programming methods
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References:
[1] E.W. Dijkstra, ”A note on two problems in connexion with graphs”,Numerische Mathematik 1 (1959) 269–271. · Zbl 0092.16002
[2] M.H. van Emden, ”Increasing the efficiency of quicksort”, Algorithm 402,Communications of the Association for Computing Machinery 13 (1970) 693–695. · Zbl 0198.50703
[3] K. Helbig Hansen, ”Sekvensproblemer med vaegt på modifikation af Held og Karp’s algoritme”, M.Sc. thesis, Institute of Datalogy, University of Copenhagen, Denmark (1971).
[4] M. Held and R.M. Karp, ”The traveling-salesman problem and minimum spanning trees”,Operations Research 18 (1970) 1138–1162. · Zbl 0226.90047
[5] M. Held and R.M. Karp, ”The traveling-salesman problem and minimum spanning trees: Part II”,Mathematical Programming 1 (1971) 6–25. · Zbl 0232.90038
[6] J.B. Kruskal, ”On the shortest spanning subtree of a graph and the traveling-salesman problem”,Proceedings of the American Mathematical Society 2 (1956) 48–50. · Zbl 0070.18404
[7] R.C. Prim, ”Shortest connection networks and some generalizations”,Bell System Technical Journal 36 (1957) 1389–1401.
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