Titlebook: Algorithms - ESA 2007; 15th Annual European Lars Arge,Michael Hoffmann,Emo Welzl Conference proceedings 2007 Springer-Verlag Berlin Heidelb

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Organisation und Leitung der BaustellenA . for the set of all permutations of . ordered symbols translates permutations to their ranks in the lexicographic order of all permutations. This is frequently used for indexing data structures by permutations. We present algorithms for computing both the ranking function and its inverse using .(.) arithmetic operations.

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Linear-Time Ranking of PermutationsA . for the set of all permutations of . ordered symbols translates permutations to their ranks in the lexicographic order of all permutations. This is frequently used for indexing data structures by permutations. We present algorithms for computing both the ranking function and its inverse using .(.) arithmetic operations.

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https://doi.org/10.1007/978-3-663-02157-5or a given graph is .-hard. We also introduce a new measure, the ., defined as the ratio of the costs between the worst and the best Nash equilibria. We show that the social cost discrepancy in our game is . and ., where . is the number of vertices and . the number of players.

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Convergence to Equilibria in Distributed, Selfish Reallocation Processes with Weighted Tasksare interested in the time it takes the system to converge to an equilibrium (or get close to an equilibrium)..Our main contributions are . a modification of the protocol in [2] that yields faster convergence to equilibrium, together with a matching lower bound, and . a non-trivial extension to weighted tasks.

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https://doi.org/10.1007/978-3-658-07826-3tream and lies between 1 and ../... A major advantage of our algorithm is that even if the relative frequencies of the different elements is fixed, the space complexity decreases with the length of the stream if the stream is not bursty.

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