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Applications of Discrepancy Theory in Multiobjective Approximation

Authors Christian Glaßer, Christian Reitwießner, Maximilian Witek



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Christian Glaßer
Christian Reitwießner
Maximilian Witek

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Christian Glaßer, Christian Reitwießner, and Maximilian Witek. Applications of Discrepancy Theory in Multiobjective Approximation. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 13, pp. 55-65, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2011)
https://doi.org/10.4230/LIPIcs.FSTTCS.2011.55

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.
Keywords
  • Discrepancy Theory
  • Multiobjective Optimization
  • Satisfiability
  • Traveling Salesman

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