An extended dominating node approach to broadcast and global combine in multiport wormhole-routed mesh networks

IEEE Transactions on Parallel and Distributed Systems

Volumn 8, Issue 1, 1997, Pages 41-58

  Tsai, Yih Jia ^a,b   McKinley, Philip K ^a,b  

^a IEEE   (United States)

^b Michigan State University   (United States)

Author keywords

Broadcast; Collective communication; Dominating set; Global combine; Mesh networks; Multiport architecture; Wormhole routing

Indexed keywords

COMPUTER ARCHITECTURE; DATA COMMUNICATION SYSTEMS; GRAPH THEORY; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS; PERFORMANCE; SWITCHING;

EXTENDED DOMINATING NODES (EDNS); MASSIVELY PARALLEL COMPUTERS (MPCS); MESH NETWORKS; MULTIPORT COMMUNICATION ARCHITECTURE; WORMHOLE ROUTING;

TELECOMMUNICATION NETWORKS;

EID: 0030834683     PISSN: 10459219     EISSN: None     Source Type: Journal    
DOI: 10.1109/71.569654     Document Type: Article

References (36)

1. M. Barnett, R. Littlefield, D.G. Payne, and R.A. van de Geijn, "Global Combine on Mesh Architectures with Wormhole Routing," Proc. Seventh Int'l Parallel Processing Symp., Apr. 13-16, 1993.
2. M. Barnett, D.G. Payne, R.A. van de Geijn, and J. Watts, "Broadcasting on Meshes with Wormhole Routing," J. Parallel and Distributed Computing, vol. 35, no. 6, pp. 111-122, June 1996.
3. A. Bar-Noy, J. Bruck, C.-T. Ho, S. Kipnis, and B. Schieber, "Computing Global Combine Operations in the Multiport Postal Model," IEEE Trans. Parallel and Distributed Systems, vol. 6, no. 8, pp. 896-900, Aug. 1995.
4. D.P. Bertsekas, C. Özveren, G.D. Stamoulis, P. Tseng, and J.N. Tsitsiklis, "Optimal Communication Algorithms for Hypercube," J. Parallel and Distributed Computing, vol. 11, pp. 263-275, 1991.
5. A.A. Chien, "A Cost and Speed Model for k-ary n-cube Wormhole Routers," Proc. Hot Interconnects '93, Aug. 5-7, 1993.
6. E.J. Cockayne, E.O. Hare, S.T. Hedetniemi, and E.V. Wimer, "Bounds for the Domination Number of Grid Graphs," Congressus Numerantium, vol. 47, pp. 217-228, 1985.
7. CRAY T3D System Architecture Overview Manual. Cray Research, Inc., 1993.
8. W.J. Dally, "Virtual Channel Flow Control," IEEE Trans. Computers, vol. 3, no. 2, pp. 194-205, Feb. 1992.
9. W.J. Dally, J.A.S. Fiske, J.S. Keen, R.A. Lethin, M.D. Noakes, P.R. Nuth, R.E. Davison, and G.A. Fyler, "The Message-Driven Processor: A Multicomputer Processing Node with Efficient Mechanisms," IEEE Micro, pp. 23-39, Apr. 1992.
10. W.J. Dally and C.L. Seitz, "The Torus Routing Chip," J. Distributed Computing, vol. 1, no. 3, pp. 187-196, Mar. 1986.
11. B. Duzett and R. Buck, "An Overview of the nCUBE 3 Supercomputer," Proc. Fourth Symp. FRONTIERS '92, pp. 458-464, Oct. 19-21, 1992.
12. M.R. Garey and D.S. Johnson, Computer and Intractability, A Guide to the Theory of NP-Completeness. Freeman, 1979.
13. S. Hiranandani, K. Kennedy, and C.W. Tseng, "Compiling Fortran D for MIMD Distributed-Memory Machines," Comm. ACM, pp. 66-80, Aug. 1992.
14. C.-T. Ho and M. Kao, "Optimal Broadcast in All-Port Wormhole-Routed Hypercubes," IEEE Trans. Parallel and Distributed Systems, vol. 6, no. 2, pp. 100-204, Feb. 1995.
15. Paragon XP/S Product Overview. Intel Corporation, 1991.
16. R.E. Kessler and J.L. Schwarzmeier, "CRAY T3D: A New Dimension for Cray Research," Proc. COMPCON, pp. 176-182, 1993.
17. J.H. Kim, Z. Liu, and A.A. Chien, "Compressionless Routing: A Framework for Adaptive and Fault-Tolerant Routing," Proc. 21st Int'l Symp. Computer Architecture, pp. 289-300, 1994.
18. V. Kumar, A. Grama, A. Gupta, and G. Karypis, Introduction to Parallel Computing: Design and Analysis of Algorithms. Redwood City, Calif.: Benjamin/Cummings, Nov. 1994.
19. P.K. McKinley and C. Trefftz, "Efficient Broadcast in All-Port Wormhole Routed Hypercubes," Proc. 1993 Int'l Conf. Parallel Processing, vol. 2, no. 8, pp. 288-291, Aug. 1993.
20. P.K. McKinley and C. Trefftz, "MultiSim: A Tool for the Study of Large-Scale Multiprocessors," Proc. 1993 Int'l Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Networks (MASCOTS), pp. 57-62, Jan. 1993.
21. P.K. McKinley, Y. Tsai, and D. Robinson, "Collective Communication in Wormhole-Routed Massively Parallel Computers," IEEE Computer, pp. 39-50, Dec. 1995.
22. P.K. McKinley, H. Xu, A.-H. Esfahanian, and L.M. Ni, "Unicast-Based Multicast Communication in Wormhole-Routed Direct Networks," IEEE Trans. Parallel and Distributed Systems, vol. 5, no. 12, pp. 1,254-1,265, Dec. 1994.
23. Message Passing Interface Forum, "Document for Standard Message-Passing Interface," Technical Report CS-93-214, Univ. of Tennessee, 1993.
24. NCUBE 6400 Processor Manual. NCUBE Company, 1990.
25. L.M. Ni and P.K. McKinley, "A Survey of Wormhole Routing Techniques in Direct Networks," Computer, vol. 26, no. 2, pp. 62-76, Feb. 1993.
26. J.-Y.L. Park and H.-A. Choi, "Circuit-Switched Broadcasting in Tours and Mesh Networks," IEEE Trans. Parallel and Distributed Systems, vol. 7, no. 2, pp. 184-190, Feb. 1996.
27. J.-Y.L. Park, S.-K. Lee, and H.-A. Choi, "Fault-Tolerant Broadcasting in Circuit-Switched Mesh," Proc. Sixth SIAM Conf. Parallel Processing for Scientific Computing, pp. 887-890, 1993.
28. J.G. Peters and M. Syska, "Circuit-Switched Broadcasting in Tours Networks," IEEE Trans. Parallel and Distributed Systems, vol. 7, no. 3, pp. 246-255, Mar. 1996.
29. D.F. Robinson, D. Judd, P.K. McKinley, and B.H.C. Cheng, "Efficient Multicast Communication in All-Port Wormhole-Routed Hypercubes," J. Parallel and Distributed Computing, vol. 31, no. 12, pp. 126-140, Dec. 1995.
30. H.D. Schwetman, "Csim: A C-Based, Process Oriented Simulation Laguage," Technical Report PP-080-85, Microelectronics and Computer Technology Corp., 1985.
31. C.L. Seitz, "The Cosmic Cube," Comm. ACM, vol. 28, no. 1, pp. 22-33, Jan. 1985.
32. Y. Tsai and P.K. McKinley, "A Dominating Set Model for Broadcast in All-Port Wormhole-Routed 2D Mesh Networks," Technical Report MSU-CPS-93-23, Michigan State Univ., 1993.
33. Y. Tsai and P.K. McKinley, "An Extended Dominating Node Approach to Collective Communication in Wormhole-Routed 2D Meshes," Proc. IEEE Scalable High Performance Computing Conf., pp. 199-206, May 1994.
34. Y. Tsai and P.K. McKinley, "Extended Dominating Node Broadcast in All-Port Wormhole-Routed Torus Networks," Proc. Fifth Symp. Frontiers of Massively Parallel Computation, pp. 529-536, Feb. 1995.
35. Y. Tsai and P.K. McKinley, "A Broadcast Algorithm for All-Port Wormhole-Routed Torus Network," IEEE Trans. Parallel and Distributed Systems, vol. 7, no. 8, pp. 876-885, Aug. 1996.
36. H. Xu, P.K. McKinley, and L.M. Ni, "Efficient Implementation of Barrier Synchronization in Wormhole-Routed Hypercube Multi-computers," J. Parallel and Distributed Computing, vol. 16, no. 10, pp. 172-184, Oct. 1992.