References
- J. H. Park and H. C. Kim, 'Fault hamiltonicity of product graph of path and cycle,' International Conference, Computing and Combinatorics Conference (COCOON), pp.319-328, 2003
- Intel Corporation literature, Intel Corporation, 1991
- F. T. Leighton, 'Introduction to Parallel Algorithms and Architectures Arrays, Trees,' Hypercubes, San Mateo, Calif. : Morgan-Kaufmann, 1992
- T. Leighton, B. Maggs and R. Sitaraman, 'On the fault tolerance of some popular bounded-degree networks,' Proc. IEEE Symp. Foundations of Computer Science, pp.542-552, 1992 https://doi.org/10.1109/SFCS.1992.267797
- V. Balasubramanian and P. Banerjee, 'A fault tolerant massively parallel processing architecture,' Journal of Parallel and Distributed Computing, Vol.4, pp.363-383, 1987 https://doi.org/10.1016/0743-7315(87)90025-6
- M. Ajtai, N. Alon, J. Bruck, R. Cypher, C. T. Ho, M. Naor and E. Szemeredi, 'Fault tolerant graphs, perfect hash functions and disjoint paths,' Proc. IEEE Symp. Foundations of Computer Science, pp.693-702, 1992 https://doi.org/10.1109/SFCS.1992.267781
- J. Bruck, R. Cypher and C. Ho, 'Fault-tolerant meshes with small degree,' SIAM J. Computing, Vol.26, No.6, pp.1764-1784, 1997 https://doi.org/10.1137/S0097539794274994
- L. Zhang, 'Fault-tolerant meshes with small degree,' IEEE Transactions on Computers, Vol.51, No.5, pp.553-560, 2002 https://doi.org/10.1109/TC.2002.1004594
- C.-H. Tsai, J. M. Tan, T. Lian and L.-H. Hsu, 'Fault-tolerant hamiltonian laceability of hypercubes,' Information Processing Letters, No.83, pp.301-306, 2002 https://doi.org/10.1016/S0020-0190(02)00214-4
- C.-H. Tsai, J. M. Tan, Y. C. Chuang and L.-H. Hsu, 'Fault-free cycles and links in faulty recursive circulant graphs,' Proc. of the ICS 2000 Workshop on Algorithms and Theory of Computation, pp.74-77, 2000
- Y. A. Ashir and I. A. Stewart, 'Fault-tolerant embeddings of hamiltonian circuits in k-ary n-cubes,' SIAM Journal on Discrete mathematics, Vol.15, No.3, pp.317-328, 2002 https://doi.org/10.1137/S0895480196311183
- W. T. Huang, Y. C. Chuang, J. J. Tan and L. H. Hsu, 'On the fault-tolerant hamiltonicity of faulty crossed cubes,' IEICE Trans. Fundamentals, Vol.E85-A, No.6, pp.1359-1370, 2002
- G. Simmons, 'Almost all n-dimensional rectangular lattices are Hamiltonian laceable,' Congr. Numer., Vol. 21, pp.103-108, 1978
- S. Y. Hsieh, G. H. Chen and C. W. Ho, 'Hamiltonian-laceability of star graphs,' Networks, Vol.36, No.4, pp.225-232, 2000 https://doi.org/10.1002/1097-0037(200012)36:4<225::AID-NET3>3.0.CO;2-G
- C. C. Chen and N. F. Quimpo, 'On strongly hamiltonian abelian group graphs,' Combinatorial Mathematics VIII. Lecture Notes in Mathematics, Vol.884, pp.23-34, 1980 https://doi.org/10.1007/BFb0091805
- S. D. Chen, H. Shen and R. W. Topor, 'An efficient algorithm for constructing hamiltonian paths in meshes,' Parallel Computing, Vol.28, pp.1293-1305, 2002 https://doi.org/10.1016/S0167-8191(02)00135-7
- A. Itai, C. H. Papadimitriou and J. L. Czwarcfiter, 'Hamiltonian paths in grid graphs,' SIAM Journal of Computing, Vol.11, No.4, pp.676-686, 1982 https://doi.org/10.1137/0211056
- S. D. Chen, H. Shen and R. W.Topor, 'Permutation-based range-join algorithms on N-dimensional meshes,' IEEE Transactions on Parallel and Distributed Systems, Vol.13, No.4, pp.413-431, 2002 https://doi.org/10.1109/71.995821
- J. S. Kim, S. R. Maeng and H. Yoon, 'Embedding of rings in 2-D meshes and tori with faulty nodes,' Journal of Systems Architecture, Vol.43, pp.643-654, 1997 https://doi.org/10.1016/S1383-7621(96)00120-8
- H. C. Kim and J. H. Park, 'Fault hamiltonicity of two-dimensional torus networks,' Workshop on Algorithms and Computation (WAAC'00), pp.110-117, 2000
- 박경욱, 이형옥, 임형석, '두 개의 랩어라운드 에지를 갖는 메쉬의 고장 해밀톤 성질', 한국정보과학회논문지, Vol.30, No.8, pp.434-444, 2003
- C. -H. Tsai, 'Hamitonian properties of faulty recursive circulant graphs,' Journal of Interconnection Networks, Vol.3, No.3&4, pp.273-289, 2002 https://doi.org/10.1142/S0219265902000677
- S. Latifi, S. Q. Zheng and N. Bagherzadeh, 'Optimal ring embedding in hypercubes with faulty links,' Proc. International Symposium on Fault-Tolerant Computing(FTCS '92), pp.178-184, 1992 https://doi.org/10.1109/FTCS.1992.243602
- S. Latifi, S. Q. Zheng and N. Bagherzadeh, 'Hamiltonian path and cycle in hypercuhes with faulty links,' Proc. International Conference on Algorithms and Architectures for Parallel Processing(ICA3PP'02), pp.471-478, 2002