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28 March 2024
 
  » arxiv » 1409.3742

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Data Reductions and Combinatorial Bounds for Improved Approximation Algorithms
Faisal N. Abu-Khzam ; Cristina Bazgan ; Morgan Chopin ; Henning Fernau ;
Date 12 Sep 2014
AbstractKernelization algorithms in the context of Parameterized Complexity are often based on a combination of reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation algorithms. Our method features the use of approximation-preserving reductions, akin to the notion of parameterized reductions. We exemplify this method to obtain the currently best approximation algorithms for extsc{Harmless Set}, extsc{Differential} and extsc{Multiple Nonblocker}, all of them can be considered in the context of securing networks or information propagation.
Source arXiv, 1409.3742
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