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Titlebook: Algorithms -- ESA 2010, Part II; 18th Annual European Mark Berg,Ulrich Meyer Conference proceedings 2010 Springer-Verlag Berlin Heidelberg

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Algorithms -- ESA 2010, Part II978-3-642-15781-3Series ISSN 0302-9743 Series E-ISSN 1611-3349
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0302-9743 Overview: up-to-date results.fast track conference proceedings.state-of-the-art report978-3-642-15780-6978-3-642-15781-3Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Induced Matchings in Subcubic Planar GraphsWe present a linear-time algorithm that, given a planar graph with . edges and maximum degree 3, finds an induced matching of size at least ./9. This is best possible.
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Shortest Paths in Planar Graphs with Real Lengths in ,(,log,,/loglog,) TimeGiven an .-vertex planar directed graph with real edge lengths and with no negative cycles, we show how to compute single-source shortest path distances in the graph in .(.log../loglog.) time with .(.) space. This improves on a recent .(.log..) time bound by Klein et al.
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https://doi.org/10.1007/978-3-658-36010-8ough an understanding of this quantity as is already known for nonatomic and unweighted congestion games, and take the form of universal (cost function-independent) worst-case examples. One noteworthy byproduct of our proofs is the fact that weighted congestion games are “tight”, which implies that
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https://doi.org/10.1007/978-3-662-26437-9 – a strengthening of Nash equilibrium to resilience against coalitional deviations. In this paper, we study the computational complexity of pure Nash and strong equilibria in these games. We provide a generic centralized algorithm to compute strong equilibria, which has polynomial running time for
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