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An algorithm for finding a shortest path between each pair of nodes of a positive arc weighted graph on a shared memory model of a single instruction-stream multiple data-stream computer is proposed. The time complexity of the algorithm is of O(log d . log n), where d and n denote the diameter and the number of nodes of the graph, respectively. At most, O(n3) processors are required to achieve this time bound.
Computers and Digital Techniques, IEE Proceedings E (Volume:133 , Issue: 2 )
Date of Publication: March 1986