Improved Inapproximability For Submodular Maximization

Per Austrin

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arXiv · 1004.3777

Improved Inapproximability For Submodular Maximization

Per Austrin

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Abstract

We show that it is Unique Games-hard to approximate the maximum of a submodular function to within a factor 0.695, and that it is Unique Games-hard to approximate the maximum of a symmetric submodular function to within a factor 0.739. These results slightly improve previous results by Feige, Mirrokni and Vondrák (FOCS 2007) who showed that these problems are NP-hard to approximate to within $3/4 + ε \approx 0.750$ and $5/6 + ε \approx 0.833$, respectively.

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Per Austrin. 2010-04-21. Improved Inapproximability For Submodular Maximization. https://arxiv.org/abs/1004.3777

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