Titlebook: Algorithms - ESA ‘95; Third Annual Europea Paul Spirakis Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995 Algorithmenanal

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/a/image/153298.jpg

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On the all-pairs shortest path algorithm of Moffat and Takaoka, is shown to hold with high probability for a wide class of probability distributions on non-negatively weighted digraphs. We also prove that for a large class of probability distributions Ω(. log .) time is necessary with high probability to compute shortest path distances with respect to a single source.

LEER

On mixed connectivity certificates,ates of .-connectivity for a graph are obtained by removing a subset of its edges, while preserving its connectivity up to ...We unify the previous work on connectivity certificates and extend it to handle mixed connectivity and multigraphs. Our treatment contributes a new insight of the pertinent s

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Truly efficient parallel algorithms: c-optimal multisearch for an extension of the BSP model,ine an extension of Valiant‘s BSP model, BSP., that rewards blockwise communication, and uses Valiant‘s notion of .-optimality. Intuitively a .-optimal parallel algorithm for . processors achieves speed-up close to .. We consider the Multisearch problem: Assume a strip in 2D to be partitioned into .

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Shared memory simulations with triple-logarithmic delay, of an .-processor CRCW PRAM on an .-processor DMM with .log log log . log..) delay, with high probability. This is an exponential improvement on all previously known simulations. It can be extended to a simulation of an (. log log log . log..)-processor EREW PRAM on an .-processor DMM with optimal

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