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Titlebook: Algorithms and Data Structures; 10th International W Frank Dehne,Jörg-Rüdiger Sack,Norbert Zeh Conference proceedings 2007 Springer-Verlag

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https://doi.org/10.1007/978-3-662-42569-5, and there is a polynomial time algorithm to find one. However, the matching obtained by this algorithm is man-optimal, that is, the matching is preferable for men but unpreferable for women, (or, if we exchange the role of men and women, the resulting matching is woman-optimal). The sex-equal stab
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Der Phasenkompensator, Bauart Brown-Boveri, of . and integer . with 1 ≤ . ≤ ., find a size . sub-collection (.′., .′., ..., .′.) of . that minimizes .(.′. * .′. * ⋯ * .′.). If .(. * .) ≤ .(.) + .(.) holds, we call this the Minimum Subadditive Join (MSJ) problem and present a greedy (. − . + 1)-approximation algorithm requiring .((. − .). + .
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https://doi.org/10.1007/978-3-663-13587-6This paper studies a discrepancy-sensitive approach to dynamic fractional cascading. We provide an efficient data structure for dominated maxima searching in a dynamic set of points in the plane, which in turn leads to an efficient dynamic data structure that can answer queries for nearest neighbors using any Minkowski metric.
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A 4/3-Approximation Algorithm for Minimum 3-Edge-ConnectivityThe minimum cardinality 3-edge-connected spanning subgraph problem is considered. An approximation algorithm with a performance ratio of 4/3 ≈ 1.33 is presented. This improves the previous best ratio of 3/2 for the problem. The algorithm also works on multigraphs and guarantees the same approximation ratio.
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