On a sublinear time parallel construction of optimal binary search trees

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Abstract

We design an efficient sublinear time parallel construction of optimal binary search trees. The efficiency of the parallel algorithm corresponds to its total work (the product time × processors). Our algorithm works in O(n1−ɛlog n) time with the total work O(n2+2ɛ), for an arbitrarily small constant 0

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Karpinski, M., & Rytter, W. (1994). On a sublinear time parallel construction of optimal binary search trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 841 LNCS, pp. 453–461). Springer Verlag. https://doi.org/10.1007/3-540-58338-6_92

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