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In this paper we present efficient and practical extensions of the randomized Parallel Priority Queue (PPQ) algorithms of Ranade et al., and efficient randomized and deterministic algorithms for the problem of list contraction on the Bulk-Synchronous Parallel (BSP) model. We also present an experimental study of their performance. We show that our algorithms are communication efficient and achieve small multiplicative constant factors for a wide range of parallel machines.

Parallel priority Queue and list contraction: The BSP approach