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

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 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 functions, 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 purposes tune of ESA used to be the yearly 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 complaints 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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SIAM J. , 17(3):427–462, June 1988. 20 [7] R. Cole and R. Hariharan. Dynamic lca queries. In Proc. 10th Annual Symposium on Discrete Algorithms, pages 235–244, 1999. 22 [8] M. Dietzfelbinger, A. Karlin, K. Mehlhorn, F. M. auf der Heide, H. Rohnert, and R. E. Tarjan. Dynamic perfect hashing: Upper and lower bounds. SIAM J. , 23:738–761, 1994. 22 [9] J. R. Driscoll, N. Sarnak, D. D. Sleator, and R. E. Tarjan. Making data structures persistent. Journal of Computer and System Sciences, 38:86–124, 1989.

FrechetSimp computes P such that δF (P , P ) ≤ ε, and |P | ≤ κF (ε/2). Proof. It is clear that the algorithm computes a curve that is an ε-simplification of P . It remains to show that the size of the curve P is bounded by κF (ε/2). Let Q = pj1 = p1 , . . , pjl = pn be the optimal ε/2-simplification of P , where 1 ≤ jm ≤ n for 1 ≤ m ≤ l. Let P = pi1 = p1 , . . , pik = pn , where 1 ≤ im ≤ n for 1 ≤ m ≤ k. The proof proceeds by induction. The following invariant will always be true: im ≥ jm , for all m.

Springer-Verlag, Berlin, 1997. 6 [11] T. K. Dey. Improved bounds on planar k-sets and k-levels. In IEEE Symposium on Foundations of Computer Science, pages 165–161, 1997. 6 [12] H. Edelsbrunner and E. Welzl. Constructing belts in two-dimensional arrangements with applications. SIAM J. , 15:271–284, 1986. 6 [13] L. J. Guibas. Kinetic data structures — a state of the art report. In P. K. Agarwal, L. E. Kavraki, and M. Mason, editors, Proc. Workshop Algorithmic Found. , pages 191–209. A. K. Peters, Wellesley, MA, 1998.

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