Titlebook: Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques; 11th International W Ashish Goel,Klaus Jansen,Ronit

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Inapproximability of Survivable Networkse derive some new hardness of approximation results, as follows. We show that directed and undirected variants of . and of .. are equivalent w.r.t. approximation, and that a .-approximation for . implies a .-approximation for ..

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Trennungsenergien einzelner Bindungen,ts are shown to be tight. Finally, we introduce the . for the vertex cover problem, defined as the worst-case ratio between the sizes of a minimum connected vertex cover and a minimum vertex cover. We prove that the price of connectivity is bounded by 2/(1?+?.) in graphs with average degree ., and give a family of near-tight examples.

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Die Schlierenverfahren und ihre Anwendungen,gorithm. Here we present a ratio 4/.?≈?1.27 approximation algorithm in the length measure, which performs at most four sweeps. We also prove that, for the two constrained variants, there are sets of . points for which any sequence of minimum cost requires 3./2???.(1) sweeps.

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