Local Approximability of Max-Min and Min-Max Linear Programs |
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Authors: | Patrik Floréen Marja Hassinen Joel Kaasinen Petteri Kaski Topi Musto Jukka Suomela |
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Affiliation: | 1.Helsinki Institute for Information Technology HIIT,University of Helsinki,Helsinki,Finland |
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Abstract: | In a max-min LP, the objective is to maximise ω subject to A
x≤1, C
x≥ω
1, and x≥0. In a min-max LP, the objective is to minimise ρ subject to A
x≤ρ
1, C
x≥1, and x≥0. 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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Keywords: | |
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