SIAM Journal on Computing
An introduction to parallel algorithms
An introduction to parallel algorithms
Efficient algorithms for finding a core of a tree with a specified length
Journal of Algorithms
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In this paper, we propose efficient parallel algorithms on the EREW PRAM for optimally locating in a weighted tree network a tree-shaped facility of a specified length. Two optimization criteria are considered: minimum eccentricity and minimum distancesum. Let n be the number of vertices in the tree network. Both the two algorithms we shall propose take O(log nloglog n) time using O(n) work.