By William Cook (auth.), Rolf Möhring, Rajeev Raman (eds.)
This quantity includes the seventy four contributed papers and abstracts of four of the five invited talks provided on the tenth Annual ecu Symposium on Algorithms (ESA 2002), held on the collage 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). earlier 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 functions song of ESA used to be the once a year Workshop on set of rules En- neering (WAE). prior 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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Additional info for Algorithms — ESA 2002: 10th Annual European Symposium Rome, Italy, September 17–21, 2002 Proceedings
The hash tables Hi uses linear space and provides O(1) worst case lookup. The number of nodes in the trie T is O(n log U ). Since each point p ∈ P might be stored at most once at each level in the lists Rv , Lv , and the height of the trie T is O(log U ), the total size of the secondary structure is O(n log U ). Thus the size of the entire data structure is O(n log U ). The trie T can be eﬃciently constructed level by level in a top down fashion. Initially, we sort the point set P to get the sorted list of Proot .
The 2D structure. We now extend the 1D structure to 2D. Let P be a set of n colored rectangles whose endpoints lie on a U ×U grid. The data structure is similar to a multi-resolution structure like quad-tree. Starting with the square [0, U ]2 , we recursively divide the current square into 2 equal-sized squares, where is a parameter. The recursion stops when a square does not contain any endpoints of the input rectangles. Let T be the tree denoting this recursive partition, and let the square Sv correspond to the node v in T .
Preserving order in a forest in less than logarithmic time and linear space. Information Processing Letters, 6:80–82, 1977. 23 Near-Linear Time Approximation Algorithms for Curve Simpliﬁcation Pankaj K. Agarwal1 , Sariel Har-Peled2 , Nabil H. edu Abstract. We consider the problem of approximating a polygonal curve P under a given error criterion by another polygonal curve P whose vertices are a subset of the vertices of P . The goal is to minimize the number of vertices of P while ensuring that the error between P and P is below a certain threshold.