Data structures and efficient algorithms: Final Report on by Helmut Alt, Johannes Blömer (auth.), B. Monien, Th. Ottmann PDF

By Helmut Alt, Johannes Blömer (auth.), B. Monien, Th. Ottmann (eds.)

ISBN-10: 3540554882

ISBN-13: 9783540554882

Algorithms are a relevant proposal in laptop technology. The German technological know-how starting place (DFG) begun a different joint initiative on facts buildings and effective algorithms in 1986 with the purpose of encouraging collaborative examine on algorithms. For a interval of 5 years a couple of dozen initiatives have been funded with an emphasis on algorithms and knowledge constructions for geometric difficulties, at the one hand, and parallel and allotted algorithms, at the different. This quantity includes 18 papers which are meant to provide an effect of the achievements of this joint learn initiative. the 1st workforce of papers addresses study on basic facts constructions, computational geometry, graph algorithms, special effects, and spatial databases. the second one crew of papers facilities at the following difficulties: the layout of parallel architectures and routing innovations, simulation of parallel machines, and the layout of dispensed algorithms for fixing tricky problems.

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Extra info for Data structures and efficient algorithms: Final Report on the DFG Special Joint Initiative

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The visibility graph for ] disjoint simple polygons has the n vertices of the polygons as nodes. e. whose connecting line segment does not intersect the interior of a polygon. See [We185, AAG+86, GM87, OW88, AW88] for various algorithms. An edge is called locally tangent if at its 27 two endpoints its extension does not intersect the interior of the polygons. In particular all polygon edges are visibility edges. It is a well known fact that the shortest path (for a point robot from point a to point b) between disjoint simple polygons consists only of locally tangent edges of the visibility graph for the polygons, where a and b are considered as additional trivial polygons.

Meh84] K. Mehlhorn. Data Structures and Algorithms. Springer Verlag, 1984. [MMO91] K. Mehlhorn, St. Meiser, and C. O'Dfinlaing. On the construction of abstract voronoi diagrams. Discrete and Computational Geometry, 6:211-224, 1991. 42 [MN90] K. Mehlhorn and S. Ns 5:215-241, 1990. Dynamic fractional cascading. Algorithmica, [MNA88] K. Mehlhorn, St. N~her, and H. Alt. A lower bound on the complexity of the union-split-find problem. SIAM Journal on Computing, 17(6):1093-1102, 1988. [MNU90] K. Mehlhorn, S.

In Proc. of the 20th Annual IEEE Symposium on Foundations of Computer Science , pages 9-17, 1979. 40 [EGS86] It. J. Gnibas, and J. Stolfi. Optimal point location in a monotone subdivision. SIAM Journal on Computing, 15(2):317-340, 1986. [EKZ77] P. van Emde Boas, R. Kaas, and E. Zijlstra. Design and implementation of an efficient priority queue. Math. Systems Theory, 10:99-127, 1977. [ES86] H. Edelsbrunner and R. Seidel. Voronoi diagrams and arrangements. Discrete and Computational Geometry, 1:25-44, 1986.

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Data structures and efficient algorithms: Final Report on the DFG Special Joint Initiative by Helmut Alt, Johannes Blömer (auth.), B. Monien, Th. Ottmann (eds.)


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