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Electronic Colloquium on Computational Complexity

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TR06-093 | 27th July 2006
Takeshi Koshiba, Yoshiharu Seri

Round-Efficient One-Way Permutation Based Perfectly Concealing Bit Commitment Scheme

We explicitly show the upper bound on the round complexity for perfectly concealing bit commitment schemes based on the general computational assumption. The best known scheme in the literature is the one-way permutation based scheme due to Naor, Ostrovsky, Venkatesan and Yung and its round complexity is O(n). We consider ... more >>>


TR06-092 | 5th July 2006
Matthias Englert, Heiko Röglin, Berthold Vöcking

Worst Case and Probabilistic Analysis of the 2-Opt Algorithm for the TSP

2-Opt is probably the most basic and widely used local search
heuristic for the TSP. This heuristic achieves amazingly good
results on "real world" Euclidean instances both with respect to
running time and approximation ratio. There are numerous
experimental studies on the performance of 2-Opt. However, the
theoretical knowledge about ... more >>>


TR06-091 | 29th May 2006
Felix Brandt, Felix Fischer, Markus Holzer

Symmetries and the Complexity of Pure Nash Equilibrium

Strategic games may exhibit symmetries in a variety of ways. A common aspect of symmetry, enabling the compact representation of games even when the number of players is unbounded, is that players cannot (or need not) distinguish between the other players. We define four classes of symmetric games by considering ... more >>>



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ISSN 1433-8092 | Imprint