Download e-book for kindle: Algorithms — ESA 2002: 10th Annual European Symposium Rome, by William Cook (auth.), Rolf Möhring, Rajeev Raman (eds.)

By William Cook (auth.), Rolf Möhring, Rajeev Raman (eds.)

ISBN-10: 3540441808

ISBN-13: 9783540441809

ISBN-10: 3540457496

ISBN-13: 9783540457497

This quantity includes the seventy four contributed papers and abstracts of four of the five invited talks awarded on the tenth Annual ecu Symposium on Algorithms (ESA 2002), held on the college of Rome “La Sapienza”, Rome, Italy, 17-21 September, 2002. For the ?rst time, ESA had tracks, with separate application committees, which dealt respectively with: – the layout and mathematical research of algorithms (the “Design and An- ysis” track); – real-world purposes, engineering and experimental research of algorithms (the “Engineering and functions” track). prior ESAs have been held in undesirable Honnef, Germany (1993); Utrecht, The Neth- lands (1994); Corfu, Greece (1995); Barcelona, Spain (1996); Graz, Austria (1997); Venice, Italy (1998); Prague, Czech Republic (1999); Saarbruc ¨ ken, Ger- ? many (2000), and Arhus, Denmark (2001). The predecessor to the Engineering and purposes music of ESA used to be the once a year Workshop on set of rules En- neering (WAE). past WAEs have been held in Venice, Italy (1997), Saarbruc ¨ ken, ? Germany (1998), London, united kingdom (1999), Saarbru ¨cken, Germany (2000), and Arhus, Denmark (2001). The court cases of the former ESAs have been released as Springer LNCS volumes 726, 855, 979, 1284, 1461, 1643, 1879, and 2161. The complaints of WAEs from 1999 onwards have been released as Springer LNCS volumes 1668, 1982, and 2161.

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There are at least three known solutions [14, 13, 15] for the colored range searching problem in one dimension. We use their intuition but present yet another solution which, in contrast to the others, we are able to make dynamic as well as persistent. Then we use a sweep-line approach to obtain our result in 2D (rather than the recursive divide and conquer). For the point-enclosure problem, the previously known approach [10] relies on building a one dimensional data structure using exponential trees and then extending it to two dimensions by dynamizing and making it persistent.

In contrast, our 1-dimensional structure above can be made dynamic and persistent and hence can be extended to 2-dimensions using the sweep-line paradigm, as we show next. , q = [x1 , x2 ] × [−∞, y2 ]. Let M denote the 1D data structure described in the previous section. Our approach is to make M dynamic and partially persistent. Then we use the standard sweep-line approach to construct a partially persistent extension of M so that a 3-sided range query can be answered efficiently. First we describe how to dynamize M .

1 Introduction We are given a set of geometric objects – points, lines, polygons – to preprocess. Given a query object, the range searching problem is to return the intersection of the query with the given set of objects. In the past few decades, range searching has been extensively studied. See [1, 16] for recent surveys. The fascination with range searching is because it has myriad applications in areas of database retrieval, computer aided design/manufacturing, graphics, geographic information systems, etc.

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Algorithms — ESA 2002: 10th Annual European Symposium Rome, Italy, September 17–21, 2002 Proceedings by William Cook (auth.), Rolf Möhring, Rajeev Raman (eds.)


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