By Monika Henzinger (auth.), Mike S. Paterson (eds.)

This publication constitutes the refereed court cases of the eighth Annual ecu Symposium on Algorithms, ESA 2000, held in Saarbrücken, Germany in September 2000. The 39 revised complete papers provided including invited papers have been rigorously reviewed and chosen for inclusion within the e-book. one of the themes addressed are parallelism, dispensed platforms, approximation, combinatorial optimization, computational biology, computational geometry, external-memory algorithms, graph algorithms, community algorithms, on-line algorithms, facts compression, symbolic computation, trend matching, and randomized algorithms.

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V. North-Holland, Amsterdam, 1999. 21, 23 3. M. Bern. Triangulations. In J. E. Goodman and J. O’Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 22, pages 413–428. CRC Press LLC, Boca Raton, FL, 1997. 22 4. B. Chazelle and D. P. Dobkin. Optimal convex decompositions. In G. T. Toussaint, editor, Computational Geometry, pages 63–133. North-Holland, Amsterdam, Netherlands, 1985. 25, 29 5. M. de Berg, M. van Kreveld, M. Overmars, and O. Schwarzkopf. Computational Geometry: Algorithms and Applications.

Snoeyink. On the time bound for convex decomposition of simple polygons. In Proc. 10th Canad. Conf. Comput. , 1998. 25 18. M. Keil. Polygon decomposition. -R. Sack and J. Urrutia, editors, Handbook of Computational Geometry. V. North-Holland, Amsterdam, 1999. 22 19. -C. Latombe. Robot Motion Planning. Kluwer Academic Publishers, Boston, 1991. 20, 21, 23 20. D. Leven and M. Sharir. Planning a purely translational motion for a convex object in two-dimensional space using generalized Voronoi diagrams.

This is how we change the weights. As long as there is an i with w i,j > 0 and wi,k > 0 for some i = k, we set one of them to the sum of the two. The other one is set to zero. Note that an item with weight zero incurs neither access nor transposition cost. Let us write (5) such that we can more easily detect how its value changes if we change wi,j and wi,k . C = C0 + C1 · wi,j + C2 · wi,k + f(i,j),(i,k) · wi,j wi,k + wi,j wi,k |σYi,j | + |σYi,k | 2 2 (6) 46 Christoph Amb¨uhl Here, C0 denotes all costs independent of both w i,j and wi,k .