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A ranking model for the greedy algorithm and discrete convexity
2010
Mathematical programming
Generalizing the idea of the Lovász extension of a set function and the discrete Choquet integral, we introduce a combinatorial model that allows us to define and analyze matroid-type greedy algorithms. The model is based on a real-valued function v on a (finite) family of sets which yields the constraints of a combinatorial linear program. Moreover, v gives rise to a ranking and selection procedure for the elements of the ground set N and thus implies a greedy algorithm for the linear program.
doi:10.1007/s10107-010-0406-2
fatcat:suhadfg3ifcabjan2luphwvsyy