Efficient unicast in bijective connection networks with the restricted faulty node set

Information Sciences

Volumn 181, Issue 11, 2011, Pages 2303-2315

  Fan, Jianxi ^a   Jia, Xiaohua ^b   Liu, Xin ^c   Zhang, Shukui ^a   Yu, Jia ^d  

^a SOOCHOW UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c NANKAI UNIVERSITY   (China)

^d QINGDAO UNIVERSITY   (China)

Author keywords

Bijective connection network; Connectivity; Fault free path; Set of restricted faulty nodes; Unicast

Indexed keywords

BIJECTIVE CONNECTION NETWORK; CONNECTIVITY; FAULT-FREE PATH; FAULTY NODE; UNICAST;

ALGORITHMS; DISTRIBUTED COMPUTER SYSTEMS; HYPERCUBE NETWORKS;

GEOMETRY;

EID: 79953285886     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2010.12.011     Document Type: Article

References (35)

1. S. Abraham, and K. Padmanabhan The twisted cube topology for multiprocessors: a study in networks asymmetry J. Parallel Distrib. Comput. 13 1 1991 104 110 (Pubitemid 21693629)
2. T.H. Dunigan Performance of the Intel ipsc/860 and Ncube 6400 Hypercubes Parallel Comput. 17 10-11 1991 1285 1302
3. K. Efe A variation on the hypercube with lower diameter IEEE Trans. Comput. 40 11 1991 1312 1316
4. A.-H. Esfahanian Generalized measures of fault tolerance with application to n-cube networks IEEE Trans. Comput. 38 11 1989 1586 1591
5. J. Fan, and L. He BC interconnection networks and their properties Chinese J. Comput. 26 1 2003 84 90
6. J. Fan, X. Jia, and X. Lin Optimal embeddings of paths with various lengths in twisted cubes IEEE Trans. Parallel Distrib. Syst. 18 4 2007 511 521 (Pubitemid 46523206)
7. J. Fan, X. Lin, and X. Jia Optimal path embedding in crossed cubes IEEE Trans. Parallel Distrib. Syst. 16 12 2005 1190 1200 (Pubitemid 43065957)
8. J. Fan, and X. Jia Edge-pancyclicity and path-embeddability of bijective connection graphs Inf. Sci. 178 2008 340 351 (Pubitemid 47600210)
9. J. Fan, and X. Lin The t/k-diagnosability of the BC graphs IEEE Trans. Comput. 54 2 2005 176 184 (Pubitemid 40351863)
10. J.-S. Fu Fault-tolerant cycle embedding in the hypercube Parallel Comput. 29 6 2003 821 832
11. J.-S. Fu Longest fault-free paths in hypercubes with vertex faults Inf. Sci. 176 2006 759 771 (Pubitemid 43121492)
12. J.-S. Fu Fault-free Hamiltonian cycles in twisted cubes with conditional link faults Theor. Comput. Sci. 407 1-3 2008 318 329
13. Q.-P. Gu, and S. Peng Unicast in hypercubes with large number of faulty nodes IEEE Trans. Parallel Distrib. Syst. 10 10 1999 964 975 (Pubitemid 30529914)
14. Y. Han, J. Fan, S. Zhang, J. Yang, and P. Qian Embedding meshes into locally twisted cubes Inf. Sci. 180 2010 3794 3805
15. F. Harary Conditional connectivity Networks 13 1983 346 357
16. S.-Y. Hsieh Fault-tolerant cycle embedding in the hypercube with more both faulty vertices and faulty edges Parallel Comput. 32 1 2006 84 91 (Pubitemid 41827476)
17. S.-Y. Hsieh, and C.-H. Chen Pancyclicity on Möbius cubes with maximal edge faults Parallel Comput. 30 3 2004 407 421
18. S.-Y. Hsieh, and T.-H. Shen Edge-bipancyclicity of a hypercube with faulty vertices and edges Discrete Appl. Math. 156 10 2008 1802 1808
19. K.S. Hu, S.-S. Yeoh, C. Chen, and L.-H. Hsu Node-pancyclicity and Edge-pancyclicity of Hypercube variants Inf. Process. Lett. 102 1 2007 1 7 (Pubitemid 46186358)
20. W.T. Huang, Y.C. Chuang, J.J.M. Tan, and L.H. Hsu Fault-free Hamiltonian cycle in faulty Möbius cubes Computacióny Sistemas 4 2 2000 106 114
21. W.T. Huang, Y.C. Chuang, J.J.M. Tan, and L.H. Hsu Fault-tolerant Hamiltonicity of twisted cubes J. Parallel Distrib. Comput. 62 2002 591 604
22. W.T. Huang, Y.C. Chuang, J.J.M. Tan, and L.H. Hsu On the fault-tolerant Hamiltonicity of faulty crosses cubes IEICE Trans. Fundam. E85-A 6 2008 1359 1370
23. H.-S. Hung, J.-S. Fu, and G.-H. Chen Fault-free Hamiltonian cycles in crossed cubes with conditional link faults Inf. Sci. 177 24 2007 5664 5674 (Pubitemid 47464283)
24. T.-L. Kueng, T. Liang, L.-H. Hsu, and J.J.M. Tan Long paths in hypercubes with conditional node-faults Inf. Sci. 179 5 2009 667 681
25. S.M. Larson, and P. Cull The Möbius cubes IEEE Trans. Comput. 44 5 1995 647 659
26. J. Laudon, and D. Lenoski The SGI origin: a ccNUMA highly scalable server Int. Symp. Comput. Arch. 1997 241 251
27. M. Ma, G. Liu, and X. Pan Path embedding in faulty hypercubes Appl. Math. Comput. 192 1 2007 233 238 (Pubitemid 47362314)
28. M. Ma, G. Liu, and J.-M. Xu Panconnectivity and edge-fault-tolerant pancyclicity of augmented cubes Parallel Comput. 33 1 2007 36 42 (Pubitemid 46282133)
29. M. Ma, G. Liu, and J.-M. Xu Fault-tolerant embedding of paths in crossed cubes Theor. Comput. Sci. 407 1-3 2008 110 116
30. C.-H. Tsai, and S.-Y. Jiang Path bipancyclicity of hypercubes Inf. Process. Lett. 101 3 2007 93 97 (Pubitemid 44854900)
31. L.W. Tucker, and G.G. Robertson Architecture and applications of the connection machine Computer 21 8 1998 26 38
32. J.M. Xu, J.-W. Wang, and W.-W. Wang On super and restricted connectivity of some interconnection networks Ars Comb. 94 2010 25 32
33. X. Yang, D.J. Evans, and G.M. Megson The locally twisted cubes Int. J. Comput. Math. 82 4 2005 401 413 (Pubitemid 41663455)
34. X. Yang, and G.M. Megson Fault tolerance of Möbius cubes under two forbidden fault set models Int. J. Comput. Math. 81 8 2004 909 916 (Pubitemid 41710377)
35. X. Yang, G.M. Megson, and D.J. Evans Locally twisted cubes are 4-pancyclic Appl. Math. Lett 17 8 2004 919 925