Strongly diagnosable product networks under the comparison diagnosis model

IEEE Transactions on Computers

Volumn 57, Issue 6, 2008, Pages 721-732

  Hsieh, Sun Yuan ^a   Chen, Yu Shu ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

And fault tolerance; Discrete mathematics; Evaluation; Fault tolerance; Graph theory; Mathematics of computing; Measurement; Modeling; Network problems; On chip interconnection networks; Reliability; Simulation of multiple processor systems; Testing

Indexed keywords

COMPUTER SIMULATION; FAULT TOLERANCE; FAULT TOLERANT COMPUTER SYSTEMS; MULTIPROCESSING PROGRAMS; PROGRAM DIAGNOSTICS; PROGRAM PROCESSORS;

AND FAULT-TOLERANCE; DIAGNOSABLE PRODUCT NETWORKS; MULTIPROCESSOR SYSTEMS;

COMPUTER NETWORKS;

EID: 44049106991     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.2008.30     Document Type: Article

References (37)

1. T. Araki and Y. Shibata, "Diagnosability of Networks Represented by the Cartesian Product," IEICE Trans. Fundamentals, vol. E83-A, no. 3, pp. 465-470, 2000.
2. J.R. Armstrong and F.G. Gray, "Fault Diagnosis in a Boolean n Cube Array of Multiprocessors," IEEE Trans. Computers, vol. 30, no. 8, pp. 587-590, Aug. 1981.
3. S. Bettayeb, "On the k-Ary Hypercube," Theoretical Computer Science, vol. 140, no. 2, pp. 333-339, 1995.
4. B. Bose, B. Broeg, Y. Kwon, and Y. Ashir, "Lee Distance and Topological Properties of k-Ary n-Cubes," IEEE Trans. Computers, vol. 44, no. 8, pp. 1021-1030, Aug. 1995.
5. L.N. Bhuyan and D.P. Agrawal, "Generalized Hypercube and Hyperbus Structures for a Computer Network," IEEE Trans. Computers, vol. 33, no. 4, pp. 323-333, Apr. 1984.
6. D.M. Blough, G.F. Sullivan, and G.M. Masson, "Efficient Diagnosis of Multiprocessor System under Probabilistic Models," IEEE Trans. Computers, vol. 41, no. 9, pp. 1126-1136, Sept. 1992.
7. C.P. Chang, P.L. Lai, J.J.M. Tan, and L.H. Hsu, "Diagnosability of t Connected Networks and Product Networks under the Comparison Diagnosis Model," IEEE Trans. Computers, vol. 53, no. 12, pp. 1582-1590, Dec. 2004.
8. S.K. Das, S.R. Öhring, and A.K. Banerjee, "Embeddings Into Hyper Petersen Network: Yet Another Hypercube-Like Interconnection Topology, VLSI Design, vol. 2, no. 4, pp. 335-351, 1995.
9. G.Y. Chang, G.J. Chang, and G.H. Chen, "Diagnosabilities of Regular Networks," IEEE Trans. Parallel and Distributed Systems, vol. 16, no. 4, pp. 314-323, Apr. 2005.
10. G.Y. Chang, G.H. Chen, and G.J. Chang, "t, k)-Diagnosis for Matching Composition Networks," IEEE Trans. Computers, vol. 55, no. 1, pp. 88-92, Jan. 2006.
11. G.Y. Chang, G.H. Chen, and G.J. Chang, "(t, k)-Diagnosis for Matching Composition Networks under the MM* Model," IEEE Trans. Computers, vol. 56, no. 1, pp. 73-79, Jan. 2007.
12. K.Y. Chwa and L. Hakimi, "On Fault Identification in Diagnosable Systems," IEEE Trans. Computers, vol. 30, no. 6, pp. 414-422, June 1981.
13. W.S. Chiue and B.S. Shieh, "On Connectivity of the Cartesian Product of Two Graphs," Applied Math. and Computation, vol. 102, nos. 2-3, pp. 129-137, 1999.
14. A. Das, K. Thulasiraman, and V.K. Agarwal, "Diagnosis of t/(t 1)-Diagnosable Systems," SIAM J. Computing, vol. 23, no. 5, pp. 895-905, 1994.
15. K. Day and A.E. Al-Ayyoub, "The Cross Product of Interconnection Networks," IEEE Trans. Parallel and Distributed Systems, vol. 8, no. 2, pp. 109-118, Feb. 1997.
16. K. Day and A.E. Al-Ayyoub, "Minimal Fault Diameter for Highly Resilient Product Networks," IEEE Trans. Parallel and Distributed Systems, vol. 11, no. 9, pp. 926-930, Sept. 2000.
17. K. Efe and A. Fernandez, "Products of Networks with Logarithmic Diameters and Fixed Degree," IEEE Trans. Parallel and Distributed Systems, vol. 6, no. 9, pp. 963-975, Sept. 1995.
18. T. El-Ghazawi and A. Youssef, "A Generalized Framework for Developing Adaptive Fault-Tolerant Routing Algorithms," IEEE Trans. Reliability vol. 42, no. 2, pp. 250-258, 1993.
19. J. Fan, "Diagnosability of the Möbius Cubes," IEEE Trans. Parallel and Distributed Systems, vol. 9, no. 9, pp. 923-928, Sept. 1998.
20. J. Fan, "Diagnosability of Crossed Cubes under the Comparison Diagnosis Model," IEEE Trans. Parallel and Distributed Systems, vol. 13, no. 7, pp. 687-692, July 2002.
21. H. Fugiwara and K. Kinoshita, "On the Computational Complexity of System Diagnosis," IEEE Trans. Computers, vol. 27, no. 10, pp. 881-885, Oct. 1978.
22. S.L. Hakimi and A.T. Amin, "Characterization of Connection Assignment," IEEE Trans. Computers, vol. 23, pp. 86-88, 1974.
23. A. Kavianpour and K.H. Kim, "Diagnosability of Hypercubes Under the Pessimistic One-Step Diagnosis Strategy," IEEE Trans. Computers, vol. 40, no. 2, pp. 232-237, Feb. 1991.
24. S. Khanna and W.K. Fuchs, "A Graph Partitioning Approach to Sequential Diagnosis," IEEE Trans. Computers, vol. 46, no. 1, pp. 39-47, Jan. 1997.
25. S.C. Ku, B.F. Wang, and T.K. Hung, "Constructing Edge-Disjoint Spanning Trees on Product Networks," IEEE Trans. Parallel and Distributed Systems, vol. 14, no. 3, pp. 213-221, Mar. 2003.
26. S. Ohring and D.H. Hohndel, "Optimal Fault Tolerant Communication Algorithms on Product Networks Using Spanning Trees, Proc. Sixth IEEE Symp. Parallel and Distributed Processing, pp. 188-195, 1994.
27. J.K. Lee and J.T. Butler, "A Characterization of t/s Diagnosability and Sequential t-Diagnosability in Designs," IEEE Trans. Computers, vol. 39, no. 10, pp. 1298-1304, Oct. 1990.
28. M. Malek, "A Comparison Connection Assignment for Diagnosable of Multiprocessor Systems," Proc. Seventh Ann. Int'l Symp. Computer Architecture, pp. 31-36, 1980.
29. J. Maeng and M. Malek, "A Comparison Connection Assignment for Self-Diagnosis of Multiprocessor Systems," Proc. 11th Int'l Symp. Fault-Tolerant Computing, pp. 173-175, 1981.
30. F.P. Preparata, G. Metze, and R.T. Chien, "On the Connection Assignment Problem of Diagnosable Systems," IEEE Trans. Computers, vol. 16, pp. 448-454, 1967.
31. A.L. Rosenberg, "Product-Shuffle Networks: Towards Reconciling Shuffles and Butterflies," Discrete Applied Math., vols. 37/38, pp. 465-488, 1992.
32. Y. Saad and M.H. Schultz, "Topological Properties of Hypercubes," IEEE Trans. Computers, vol. 37, no. 7, pp. 867-872, July 1988.
33. A. Sengupta and A. Dahbura, "On Self-Diagnosable Multiprocessor System: Diagnosis by the Comparison Approach," IEEE Trans. Computers, vol. 41, no. 11, pp. 1386-1396, Nov. 1992.
34. A.K. Somani and O. Peleg, "On Diagnosability of Large Fault Sets in Regular Topology-Based Computer Systems," IEEE Trans. Computers, vol. 45, no. 8, pp. 892-903, Aug. 1996.
35. D. Wang, "Diagnosability of Enhanced Hypercubes," IEEE Trans. Computers, vol. 43, no. 9, pp. 1054-1061, Sept. 1994.
36. D. Wang, "Diagnosability of Hypercubes and Enhanced Hypercubes Under the Comparison Diagnosis Model," IEEE Trans. Computers, vol. 48, no. 12, pp. 1369-1374, Dec. 1999.
37. 1-Diagnosable Systems," IEEE Trans. Computers, vol. 35, no. 7, pp. 639-643, July 1986.