Titlebook: Industrial Project Management; Planning, Design, an Stefano Tonchia Book 20081st edition Springer-Verlag Berlin Heidelberg 2008 Contract Ma

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ial talk by Kurt Mehlhorn on LEDA (Library of E cient Data types and Algorithms). The Hao Wang Award (inaugurated at COCOON ’97) is given to honor the paper judged by the program committee to have the greatest scienti c merit. The recipients of the Hao Wang Award 1999 were Hiroshi Nagamochi and Tos-

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ing ..-sampling gives an .(log.) approximation in expectation. Ailon et. al. [2] and Aggarwal et. al. [3] extended results of [1] to show that .(.) points chosen as centers using ..-sampling give .(1) approximation to the .-means objective function with high probability. In this paper, we further de

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ng attention on the case . = 1; in this self-contained paper we shall give tight upper and lower bounds for the half-lie problem. For infinitely many .’s our bounds turn out to be matching, and the optimal solution is explicitly given, thus strengthening previous estimates by Rivest, Meyer et al.

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