Titlebook: Algorithms - ESA ‘98; 6th Annual European Gianfranco Bilardi,Giuseppe F. Italiano,Geppino Pu Conference proceedings 1998 Springer-Verlag B

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Augmenting Suffix Trees, with Applicationsorm the technical crux of this paper. In particular, they consist of adding extra edges to suffix trees, resulting in Directed Acyclic Graphs (DAGs). Our algorithms construct these “suffix DAGs” and manipulate them to solve the two problems efficiently.

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Constructing Binary Space Partitions for Orthogonal Rectangles in Practiceques presented in the literature. Our studies show that our algorithm constructs BSPs of near-linear size and small height in practice, has fast running times, and answers queries efficiently. It is a method of choice for constructing BSPs for orthogonal rectangles.

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https://doi.org/10.1007/978-3-658-32840-5improvement comes from the use of a more sophisticated modeling of the problem combined with the observation that the problem possesses a “Monge property” and that the SMAWK algorithm on monotone matrices can therefore be applied.

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Innere lichtelektrische Effekte,al time algorithm within a ratio of (1 ? .). ln . for any . > 0, unless .. TIME(..), where . is the number of triangles in the terrain. Since there exists an approximation algorithm that achieves an approximation ratio of ln .+1, our result is close to the optimum hardness result achievable for this problem.