Titlebook: Computer Science -- Theory and Applications; 7th International Co Edward A. Hirsch,Juhani Karhum?ki,Michail Prilutsk Conference proceedings

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Can the Theory of Algorithms Ratify the “Invisible Hand of the Market”? remained elusive..The latter question can clearly benefit from the powerful tools of modern complexity theory and algorithms. In this talk, we will provide an in-depth overview of the fascinating theory that has emerged around this question over the last decade.

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Resilient Quicksort and Selectionme. This improves the previous known result for ...Our deterministric sorting relies on the notion of an approximate .-th order statistic. For this auxiliary problem, we devise a deterministic algorithm that runs in . time and produces a key (either corrupted or not) whose order rank differs from . by at most .(.).

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Approximating Minimum Power Edge-Multi-Coversain result improves this ratio to .(log.) for general costs, and to .(1) for uniform costs. This also implies ratios .(log.) for the ... and . for the ... problems; the latter is the currently best known ratio for the min-cost version of the problem. In addition, for small values of ., we improve the previously best ratio .?+?1 to .?+?1/2.

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