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Titlebook: Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques; 8th International Wo Chandra Chekuri,Klaus Jansen,L

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Packing Element-Disjoint Steiner Treesre . denotes |.|. We present a randomized .(log.)-approximation algorithm for this problem, thus matching the hardness lower bound. Moreover, we show a tight upper bound of .(log.) on the integrality ratio of a natural linear programming relaxation.
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The Complexity of Making Unique Choices: Approximating 1-in-, SATo have size exactly .. Our results show that the 1-in-.SAT problem exhibits some rather peculiar phenomena in the realm of constraint satisfaction problems. Specifically, the problem becomes . easier to approximate with perfect completeness as well as when negations of literals are not allowed.
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Approximating the Distortionstrating that, when the distortion is large, it is hard to approximate within large factors, even for 1-dimensional point sets. We also introduce additive distortion, and show that it can be easily approximated within a factor of two.
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The anaphylatoxin-forming system,ting..We also consider the problem of finding an ultrametric . that minimizes ..elative: the sum of the factors by which each input distance is stretched. For the latter problem, we give a factor .(log..) approximation.
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https://doi.org/10.1007/BFb0115462ll as all predicates on 2. binary inputs, that have at most 2.+1 accepting inputs..We also prove a large number of predicates to be approximation resistant. In particular, all predicates of arity 2.+.. with less than . non-accepting inputs are proved to be approximation resistant, as well as almost 1/5 of the predicates on four binary inputs.
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K. Kramer,O. Krayer,H. H. Weber.... The cost of the cover is given by ∑ ...... Our objective is to find a cover with minimum cost. We provide an algorithm with the same performance guarantee as for regular partial vertex cover. In this case no algorithm for the problem was known.
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