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

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An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problems to obtain a new (1.6774,1.3738)- approximation algorithm for the UFL problem. Our linear programing rounding algorithm is the first one that touches the approximability limit curve . established by Jain et al. As a consequence, we obtain the first optimal approximation algorithm for instances domi

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Improved Approximation Algorithms for the Spanning Star Forest Problemunweighted graph ., the objective is to find a star forest that contains all the vertices of . and has the maximum number of edges. This problem is the complement of the dominating set problem in the following sense: On a graph with . vertices, the size of the maximum spanning star forest is equal t

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Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problemse optimization problem. We show that for a broad class of bi-objective problems (containing many important widely studied problems such as shortest paths, spanning tree, and many others), we can compute in polynomial time an .-Pareto set that contains at most twice as many solutions as the minimum s

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Two Randomized Mechanisms for Combinatorial Auctionsing truthful randomized mechanisms. The framework enables the construction of mechanisms with polynomially small failure probability. This is in contrast to previous mechanisms that fail with constant probability. Another appealing feature of the new framework is that bidding truthfully is a . domin

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Improved Approximation Ratios for Traveling Salesperson Tours and Paths in Directed Graphsone is required to find a minimum weight walk that visits all vertices. In the asymmetric traveling salesperson problem (ATSP) the walk is required to be cyclic. In asymmetric traveling salesperson path problem (ATSPP), the walk is required to start at vertex . and to end at vertex ...We improve the

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