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Titlebook: Algorithms –- ESA 2012; 20th Annual European Leah Epstein,Paolo Ferragina Conference proceedings 2012 Springer-Verlag Berlin Heidelberg 201

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Bottleneck Non-crossing Matching in the Plane,dy the problem of computing ... We present an .(..log..)-time algorithm that computes a non-crossing matching . of ., such that ., where .(.) is the length of a longest edge in .. An interesting implication of our construction is that .. We also show that when the points of . are in convex position,
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Lower Bounds for Sorted Geometric Queries in the I/O Model,h attention so far. Two of the most prominent problems in this class are angular sorting queries and sorted .-nearest neighbour queries. The former asks us to preprocess an input point set . in the plane so that, given a query point ., the clockwise ordering of the points in . around . can be comput
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I/O-efficient Hierarchical Diameter Approximation,ently approximated (and frequently even exactly determined) using heuristics that apply a limited number of BFS traversals. If the input graphs have to be kept and processed on external storage, even a single BFS run may cause an unacceptable amount of time-consuming I/O-operations..Meyer [17] propo
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A 5-Approximation for Capacitated Facility Location,lgorithm proposed by Zhang . [7] and improves the approximation ratio from 5.83 to 5. We achieve this by modifying the ., . and . operations. The idea of taking linear combinations of inequalities used in Aggarwal .[1] is crucial in achieving this result. The example proposed by Zhang . also shows t
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A Bicriteria Approximation for the Reordering Buffer Problem,ust move to the corresponding point in the metric. The requests can be processed slightly out of order; in particular, the server has a buffer of capacity . which can store up to . requests as it reads in the sequence. The goal is to reorder the requests in such a manner that the buffer constraint i
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