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Efficient parallel algorithms for computing all pair shortest paths in directed graphs

Publication ,  Journal Article
Han, Y; Pan, V; Reif, J
Published in: 4th Annual ACM Symposium on Parallel Algorithms and Architectures
January 1, 1992

We present parallel algorithms for computing all pair shortest paths in directed graphs. Our algorithm has time complexity O(f(n)/p + I(n)log n) on the PRAM using p processors, where I(n) is log n on the EREW PRAM, log log n on the CRCW PRAM, f(n) is o(n3). On the randomized CRCW PRAM we are able to achieve time complexity O(n3/p + log n) using p processors.

Duke Scholars

Published In

4th Annual ACM Symposium on Parallel Algorithms and Architectures

DOI

Publication Date

January 1, 1992

Start / End Page

353 / 362
 

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Han, Y., Pan, V., & Reif, J. (1992). Efficient parallel algorithms for computing all pair shortest paths in directed graphs. 4th Annual ACM Symposium on Parallel Algorithms and Architectures, 353–362. https://doi.org/10.1145/140901.141913
Han, Y., V. Pan, and J. Reif. “Efficient parallel algorithms for computing all pair shortest paths in directed graphs.” 4th Annual ACM Symposium on Parallel Algorithms and Architectures, January 1, 1992, 353–62. https://doi.org/10.1145/140901.141913.
Han Y, Pan V, Reif J. Efficient parallel algorithms for computing all pair shortest paths in directed graphs. 4th Annual ACM Symposium on Parallel Algorithms and Architectures. 1992 Jan 1;353–62.
Han, Y., et al. “Efficient parallel algorithms for computing all pair shortest paths in directed graphs.” 4th Annual ACM Symposium on Parallel Algorithms and Architectures, Jan. 1992, pp. 353–62. Scopus, doi:10.1145/140901.141913.
Han Y, Pan V, Reif J. Efficient parallel algorithms for computing all pair shortest paths in directed graphs. 4th Annual ACM Symposium on Parallel Algorithms and Architectures. 1992 Jan 1;353–362.

Published In

4th Annual ACM Symposium on Parallel Algorithms and Architectures

DOI

Publication Date

January 1, 1992

Start / End Page

353 / 362