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Local Approximability of Max-Min and Min-Max Linear Programs
Authors:Patrik Floréen  Marja Hassinen  Joel Kaasinen  Petteri Kaski  Topi Musto  Jukka Suomela
Affiliation:1.Helsinki Institute for Information Technology HIIT,University of Helsinki,Helsinki,Finland
Abstract:In a max-min LP, the objective is to maximise ω subject to A x1, C xω 1, and x0. In a min-max LP, the objective is to minimise ρ subject to A xρ 1, C x1, and x0. The matrices A and C are nonnegative and sparse: each row a i of A has at most Δ I positive elements, and each row c k of C has at most Δ K positive elements.
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