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Titlebook: Approximation and Online Algorithms; 17th International W Evripidis Bampis,Nicole Megow Conference proceedings 2020 Springer Nature Switzer

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Greedy Is Optimal for Online Restricted Assignment and Smart Grid Scheduling for Unit Size Jobs,hat (i) the two instances admit the same optimal offline schedule; (ii) the cost of the online algorithm is at least that of the greedy algorithm on the respective job instance. With these properties, we can show that the competitive ratio of the greedy algorithm is the smallest possible.
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https://doi.org/10.1007/978-3-662-33025-8ze the worst-case scenario. We consider both the cases of identical and unrelated machines. Our main result is an EPTAS for the case of identical machines. We also provide a 3-approximation algorithm and an inapproximability ratio of . for the case of unrelated machines.
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0302-9743 ithms, WAOA 2019, held in Munich, Germany, in September 2019 as part of ALGO 2019..The 16 revised full papers presented together with one invited paper in this book were carefully reviewed and selected from 38 submissions. Topics of interest for WAOA 2018 were: graph algorithms; inapproximability re
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Terrain-Like Graphs: PTASs for Guarding Weakly-Visible Polygons and Terrains,om its vertices. We also present PTASs for continuously guarding the boundary of a WV-polygon or WV-terrain, either from its vertices, or, for a WV-terrain, from arbitrary points on the terrain. Finally, we compare between terrain-like graphs and . graphs, and also observe that both families admit PTASs for ..
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,Improved Deterministic Strategy for the Canadian Traveller Problem Exploiting Small Max-(,, ,)-Cutsine this analysis by focusing on graphs with a maximum (., .)-cut size . less than .. A strategy called . is proposed and its competitive ratio is . when . which is strictly less than .. Moreover, when ., the competitive ratio of . is . and is optimal. Therefore, . improves the competitiveness of the deterministic strategies known up to now.
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Fair Coresets and Streaming Algorithms for Fair ,-means,se of two colors (and exact balances). Furthermore, we extend techniques due to Chierichetti et al. [.] to obtain an approximation algorithm for .-means, which leads to a constant factor algorithm in the streaming model when combined with the coreset.
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