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Nemhauser, G. L.; Wolsey, L. A.; Fisher, M. L.

An analysis of approximations for maximizing submodular set functions-I. (English) Zbl 0374.90045

Math. Program. 14, 265-294 (1978).
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Cited in 4 Reviews
Cited in 402 Documents

MSC:

90C05 Linear programming
05C35 Extremal problems in graph theory
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\textit{G. L. Nemhauser} et al., Math. Program. 14, 265--294 (1978; Zbl 0374.90045)
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References:

[1] D.A. Babayev, ”Comments on the note of Frieze”,Mathematical Programming 7 (1974) 249–252. · Zbl 0294.90056
[2] G. Cornuejols, M.L. Fisher and G.L. Nemhauser, ”Location of bank accounts to optimize float: An analytic study of exact and approximate algorithms”,Management Science 23 (1977) 789–810. · Zbl 0361.90034
[3] J. Edmonds, ”Matroid partition”, in: G.B. Dantzig and A.M. Veinott, eds.,Mathematics of the decision sciences, A.M.S. Lectures in Applied Mathematics 11 (Am. Math. Soc., Providence, RI, 1968) pp. 333–345. · Zbl 0197.00802
[4] J. Edmonds, ”Submodular functions, matroids and certain polyhedra”, in: R. Guy, ed.,Combinatorial structures and their applications (Gordon and Breach, New York, 1971) pp. 69–87.
[5] J. Edmonds, ”Matroids and the greedy algorithm”,Mathematical Programming 1 (1971) 127–136. · Zbl 0253.90027
[6] A.M. Frieze, ”A cost function property for plant location problems”,Mathematical Programming 7 (1974) 245–248. · Zbl 0292.90039
[7] L.S. Shapley, ”Complements and substitutes in the optimal assignment problem”,Naval Research Logistics Quarterly 9 (1962) 45–48.
[8] L.S. Shapley, ”Cores of convex games”,International Journal of Game Theory 1 (1971) 11–26. · Zbl 0222.90054
[9] K. Spielberg, ”Plant location with generalized search origin”,Management Science 16 (1969) 165–178.
[10] D.R. Woodall, ”Application of polymatroids and linear programming to transversals and graphs”, presented at the 1973 British Combinatorial Conference (Aberystwyth). · Zbl 0295.05008
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