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Titlebook: Algorithms and Data Structures; 4th International Wo Selim G. Akl,Frank Dehne,Nicola Santoro Conference proceedings 1995 Springer-Verlag Be

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https://doi.org/10.1007/978-3-642-97447-2ir of floodlights to illuminate a convex polygon in such a way that the sum of their sizes is minimized. When our polygon is cocircular (i.e. all of the vertices of . lie on a circle) such a pair of floodlights can be found in linear time.
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https://doi.org/10.1007/978-3-642-79241-0f the polygon. In proving this result we also give polynomial time algorithms for finding the shortest aquarium-keeper‘s path that visits all edges of the polygon, and for finding the shortest postman path that visits all vertices of a polygon.
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Lower bounds to processor-time tradeoffs under bounded-speed message propagation,superlinear in the number of processors. The results are obtained by means of on a novel technique, called the “closed-dichotomy-size technique”, designed to obtain lower bounds to the computation time for networks of processors, each of which is equipped with a local hierarchical memory.
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Dynamic algorithms for the Dyck languages,d deletions of symbols, and language membership queries. Updates and queries are handled in polylogarithmic time. We also give both Las Vegas- and Monte Carlo-type randomised algorithms to achieve better running times, and present lower bounds on the complexity for variants of the problems.
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Computing a shortest watchman path in a simple polygon in polynomial-time,f the polygon. In proving this result we also give polynomial time algorithms for finding the shortest aquarium-keeper‘s path that visits all edges of the polygon, and for finding the shortest postman path that visits all vertices of a polygon.
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