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Matroids and the greedy algorithm. (English) Zbl 0253.90027


MSC:

90C05 Linear programming
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[1] Jack Edmonds, ”Maximum matching and a polyhedron with {0, 1}-vertices,”Journal of Research of the National Bureau of Standards 69B (1965) 125–130. · Zbl 0141.21802
[2] Jack Edmonds, ”Matroid partition, Math. of the Decision Sciences,”American Mathematical Society Lectures in Applied Mathematics 11 (1968) pp. 335–345.
[3] Jack Edmonds, ”Optimum branchings,”Journal of Research of the National Bureau of Standards 71B (1967) 233–240; reprinted with [2], pp. 346–361. · Zbl 0155.51204
[4] Jack Edmonds, ”Systems of distinct representatives and linear algebra,”Journal of Research National Bureau of Standards 71B (1967) 241–245. · Zbl 0178.03002
[5] J.B. Kruskal, On the shortest spanning subtree of a graph and the traveling salesman problem,Proceedings American Mathematical Society 7 (1956) 48–50. · Zbl 0070.18404
[6] P. Rosenstiehl, ”L’arbre minimum d’un graphe,”Proc. Int’l. Symp. on the Theory of Graphs in Rome 1966 (Dunod/Gordon-Breach, 1967).
[7] R. Rado, ”Note on independence functions,”Proceedings London Mathematical Society 7 (1957) 300–320. · Zbl 0083.02302
[8] H. Whitney, ”On the abstract properties of linear dependence,”American Journal of Mathematics 57 (1935) 509–533. · Zbl 0012.00404
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