Optimal all-to-all personalized exchange in self-routable multistage networks

IEEE Transactions on Parallel and Distributed Systems

Volumn 11, Issue 3, 2000, Pages 261-274

  Yang, Yuanyuan ^a,b   Wang, Jianchao ^a,c  

^a IEEE

^b STONY BROOK UNIVERSITY   (United States)

^c VERIZON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; INTERCONNECTION NETWORKS;

ALL-TO-ALL PERSONALIZED EXCHANGE; SELF-ROUTABLE MULTISTAGE NETWORKS;

PARALLEL PROCESSING SYSTEMS;

EID: 0033742672     PISSN: 10459219     EISSN: None     Source Type: Journal    
DOI: 10.1109/71.841742     Document Type: Article

References (25)

1. J. Duato, S. Yalamanchili, and L.M. Ni, Interconnection Networks: An Engineering Approach, CS Press, 1997.
2. D.K. Panda, "Issues in Designing Efficient and Practical Algorithms for Collective Communication on Wormhole-Routed Systems," Proc. 1995 ICPP Workshop Challenges for Parallel Processing pp. 8-15, 1995.
3. Y. Yang and G.M. Masson, "Nonblocking Broadcast Switching Networks," IEEE Trans. Computers, vol. 40, no. 9, pp. 1,005-1,015, 1991.
4. H. Xu, Y. Gui, and L.M. Ni, "Optimal Software Multicast in Wormhole-Routed Multistage Networks," IEEE Trans. Parallel and Distributed Systems, vol. 8, No. 6, pp. 597-607, 1997.
5. V. Varavithya and P. Mohapatra, "Tree-Based Multicasting on Wormhole Routed Multistage Interconnection Networks," Proc. 1997 Int'l Conf. Parallel Processing pp. 203-206, 1997.
6. R. Sivaram, D.K. Panda, and C.B. Stunkel, "Efficient Broadcast and Multicast on Multistage Interconnection Networks Using Multiport Encoding," IEEE Trans. Parallel and Distributed Systems, vol. 9, no. 10, pp. 1,004-1,028, Oct. 1998.
7. Y. Yang, "A Class of Interconnection Networks for Multicasting," IEEE Trans. Computers, vol. C-47, no. 8, pp. 899-906, Aug. 1998.
8. S.L. Johnsson and C.T. Ho, "Optimum Broadcasting and Personalized Communication in Hypercubes," IEEE Trans. Computers, vol. 38, no. 9, pp. 1249-1268, Sept. 1989.
9. Y. Saad, M. H. Schultz, "Data Communication in Parallel Architectures," Parallel Computing, vol. 11, pp. 131-150, 1989.
10. Y. Yang and J. Wang, "Efficient All-to-All Broadcast in All-Port Mesh and Torus Networks," Proc. Fifth IEEE Int'l Symp. High-Performance Computer Architecture (HPCA-5), pp. 290-299, Jan. 1999.
11. D.S. Scott, "Efficient All-to-All Communication Patterns in Hypercube and Mesh Topologies," Proc. Sixth Distributed Memory Computing Conf., pp. 398-403, 1991.
12. R. Thakur and A. Choudhary, "All-to-All Communication on Meshes with Wormhole Routing," Proc. Eighth IEEE Int'l Parallel Processing Symp., pp. 561-565, Apr. 1994.
13. Y.-C. Tseng and S. Gupta, "All-to-All Personalized Communication in a Wormhole-Routed Torus," IEEE Trans. Parallel and Distributed Systems, vol. 7, no. 5, pp. 498-505, May 1996.
14. Y.-C. Tseng, T.-H. Lin, S. Gupta, and D.K. Panda, "Bandwidth-Optimal Complete Exchange on Wormhole Routed 2D/3D Torus Networks: A Diagonal-Propagation Approach," IEEE Trans. Parallel and Distributed Systems, vol. 8, no. 4, pp. 380-396, Apr. 1997.
15. Y.J. Suh and S. Yalamanchili, "All-to-All Communication with Minimum Start-up Costs in 2D/3D Tori and Meshes," IEEE Trans. Parallel and Distributed Systems, vol. 9, no. 5, pp. 442-458, May 1998.
16. Y.J. Suh and K.G. Shin, "Efficient All-to-All Personalized Exchange in Multidimensional Torus Networks," Proc. Int'l Conf. Parallel Processing, pp. 468-475, Aug. 1998.
17. D. Gannon and J.V. Rosendale, "On the Impact of Communication Complexity in the Design of Parallel Numerical Algorithms," IEEE Trans. Computer, vol. 33, pp. 1,180-1,194, Dec. 1984.
18. S.L. Johnsson, "Communication Efficient Basic Linear Algebra Computations on Hypercube Architectures," J. Parallel Distributed Computing, vol. 4, pp. 133-172, Apr. 1987.
19. C. Clos, "A Study of Non-Blocking Switching Networks," The Bell System Technical J., vol. 32, pp. 406-424, 1953.
20. V.E. Benes, "Heuristic Remarks and Mathematical Problems Regarding the Theory of Switching Systems," The Bell System Technical J., vol. 41, pp. 1,201-1,247, 1962.
21. C.-L. Wu and T.-Y. Feng, "On a Class of Multistage Interconnection Networks," IEEE Trans. Computers, vol. C-29, no. 8, pp. 694-702. Aug. 1980.
22. L.R. Goke and G.J. Lipovski, "Banyan Networks for Partitioning Multiprocessor Systems," Proc. First Ann. Symp. Computer Architecture, pp. 21-28, 1973.
23. D. Nassimi and S. Sahni, "A Self-Routing Benes Network and Parallel Permutation Algorithms," IEEE Trans. Computers, vol. 30, no. 5, pp. 332-340, May 1981.
24. K.P. Bogart, Introductory Combinatorics. Harcourt Brace Jovanovich, second ed., 1990.
25. J.P. Hayes, Computer Architecture and Organization. McGraw-Hill, 1988.