Titlebook: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques; 10th International W Moses Charikar,Klaus Jansen,J

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/b/image/160458.jpg

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https://doi.org/10.1007/978-3-642-69817-0t-Distance. Previously, the problem had been studied for the cases when .. = .×.. for some constant . ≥ 1 (i.e., the . case), or for the case when the goal was to find a tree spanning . but Tuesday’s costs were drawn from a given distribution . (the so-called “stochastic MST case”)..We complement ou

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https://doi.org/10.1007/978-3-642-69817-0al solution. The algorithm generalizes Vizing’s algorithm in the sense that it gives the same result as Vizing’s algorithm when . = . + 1. Moreover, we show that this approximation result is best possible unless . = .. For the case where .. = 1 or ., we show that the problem is NP-hard even when .. 

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Approximation Algorithms and Hardness for Domination with Propagationdominating set problem, and for ℓ ≥ . − 1 this is the PDS problem. Our hardness threshold for PDS also holds for ℓ-round PDS for all ℓ ≥ 4. We give a PTAS for the ℓ-round PDS problem on planar graphs, for .. We study variants of the greedy algorithm, which is known to work well on covering problems,

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