Abstract
We design approximation algorithms for several NP-hard combinatorial problems achieving ratios that cannot be achieved in polynomial time (unless a very unlikely complexity conjecture is confirmed) with worst-case complexity much lower (though super-polynomial) than that of an exact computation. We study in particular max independent set, min vertex cover and min set cover and then extend our results to max clique, max bipartite subgraph and max set packing.
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Bourgeois, N., Escoffier, B., Paschos, V.T. (2009). Efficient Approximation of Combinatorial Problems by Moderately Exponential Algorithms. In: Dehne, F., Gavrilova, M., Sack, JR., Tóth , C.D. (eds) Algorithms and Data Structures. WADS 2009. Lecture Notes in Computer Science, vol 5664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03367-4_44
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DOI: https://doi.org/10.1007/978-3-642-03367-4_44
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