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arXiv · 1107.0634

Applications of Discrepancy Theory in Multiobjective Approximation

Christian Glaßer·Christian Reitwießner·Maximilian Witek
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Abstract

We apply a multi-color extension of the Beck-Fiala theorem to show that the multiobjective maximum traveling salesman problem is randomized 1/2-approximable on directed graphs and randomized 2/3-approximable on undirected graphs. Using the same technique we show that the multiobjective maximum satisfiablilty problem is 1/2-approximable.

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Christian Glaßer, Christian Reitwießner, Maximilian Witek. 2011-07-04. Applications of Discrepancy Theory in Multiobjective Approximation. https://arxiv.org/abs/1107.0634

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