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Titlebook: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques; 15th International W Anupam Gupta,Klaus Jansen,Roc

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https://doi.org/10.1007/978-3-642-70372-0the random ordering threshold 1/.! on bounded occurrence instances. We prove a similar result for all ordering CSPs, with arbitrary payoff functions, whose constraints have arity at most 3. Our method is based on working with a carefully defined Boolean CSP that serves as a proxy for the ordering CS
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Ergonomic Data for Equipment Designs also transfers to the infinite supply model. Furthermore, for ., in which we have .. = .., we show that the natural and fast . (.) algorithm is a 9/4-approximation in the unit supply model. The bound is tight for the algorithm and close to being best-possible..The above results in the unit supply
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Ergonomics and Equipment Design,hen . is a symmetric submodular function, the problem has an information theoretic lower bound of 2 on the approximability..Feige, Lovász, and Tetali (2004) also devised a factor 2 LP-rounding algorithm for the Min Sum Vertex Cover. In this paper, we present an improved approximation algorithm with
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Improved Spectral-Norm Bounds for Clusteringng several axes. First, we weaken the center separation bound by a factor of ., and secondly we weaken the proximity condition by a factor of . (in other words, the revised separation condition is independent of .). Using these weaker bounds we still achieve the same guarantees when all points satis
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Improved Hardness Results for Profit Maximization Pricing Problems with Unlimited Supplyhey are log. (. + .) hard to approximate for any constant ., unless ., where . is a constant depending on .. Restricting our attention to approximation factors depending only on ., we show that these problems are .-hard to approximate for any . > 0 unless ., where .′ is some constant depending on ..
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iBGP and Constrained Connectivityd the . of the pair. The goal is to find the smallest subgraph . = (.,.) of . in which every pair of vertices .,. is connected by a path contained in .(.,.). We show that the iBGP problem can be reduced to the special case of Constrained Connectivity where . = ... Furthermore, we believe that Constr
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