Using EREW-PRAM algorithms on a tournament based complete binary tree we implement the insert and extract-min operations with p = log IV processors at costs O(1) and O(log log N) respectively. Previous solutions [4, 7] under the PRAM model and identical assumptions attain O(log log N) cost for both operations. We also improve on constant factors the asymptotic bound for extract-min since in it we reduce the use of communication demanding primitives. The tournament tree enables the design of paraEel algorithms that are noticeably simple.
CITATION STYLE
Marín, M. (1997). Priority queue operations on EREW-PRAM. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1300 LNCS, pp. 417–420). Springer Verlag. https://doi.org/10.1007/bfb0002765
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