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. In this paper, we explore parallel implementations of theabstract data type priority queue. We use the BSP* model, an extensionof Valiant's BSP model which rewards blockwise communication,i.e. sending a few large messages instead of many small ones. We presenttwo randomized approaches for different relations between the size ofthe data structure and the number of parallel updates to be performed.Both yield work optimal algorithms that need asymptotically less communicationthan...

Realistic parallel algorithms: Priority queue operations and selection for the BSP* Model