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Parallel algorithms for the tree bisector problem and applications

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5 Author(s)
Biing-Feng Wang ; Dept. of Comput. Sci., Nat. Tsing Hua Univ., Hsinchu, Taiwan ; Shan-Chyun Ku ; Keng-Hua Shi ; Ting-Kai Hung
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An edge is a bisector of a simple path if it contains the middle point of the path. In this paper, efficient parallel algorithms are proposed on the EREW PRAM for the single-source and all-pairs tree bisector problems. Two O(log n) time single-source algorithms are proposed. One uses O(n) work and the other uses O(nlog n) work. The one using O(n) work is more efficient but only applicable to unweighted trees. One all-pairs parallel algorithm is proposed. It requires O(log n) time using O(n2) work

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Parallel Processing, 1999. Proceedings. 1999 International Conference on

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