References
- F. Berman and L. Snyder, “On mapping parallel algorithms into parallel architectures,” Jr. of Parellel and Distrib. Comput., Vol.4, No.1, 1987, pp.439-458. https://doi.org/10.1016/0743-7315(87)90018-9
- S. G. Akl, “Parallel Computation: Models and Methods,” Prentice Hall, NJ, 1997.
- B. Monien and H. Sudborough, “Embedding one interconnection network in another,” Computing Supplement, Vol.7, No.1, 1990, pp.257-282. https://doi.org/10.1007/978-3-7091-9076-0_13
- R. Miller and Q. F. Stout, “Data movement techniques for the pyramid computer,” SIAM J. on. Comput., Vol.16, No.1, 1987, pp.38-60. https://doi.org/10.1137/0216004
- F. T. Leighton, “Introduction to parallel algorithms and architectures: arrays, trees, hypercubes,” Morgan Kaufmann, CA, 1991.
- Q. F. Stout, “Mapping vision algorithms to parallel architectures,” Proc. of the IEEE, Vol.7, No.1, 1988, pp.982-995.
- L. Cinque and G. Bongiovanni, “Parallel prefix computation on a pyramid computer,” Patt. Recog. Lett., Vol.16, No.1, 1995, pp.19-22. https://doi.org/10.1016/0167-8655(94)00067-D
- J. F. Jenq and S. Sahni, “Image shrinking and expanding on a pyramid,” IEEE Trans. Parallel Distrib. Syst., Vol.4, No.11, 1993, pp.1291-1296. https://doi.org/10.1109/71.250106
- R. Cipher and H. L. G. Sanz, “SIMD architectures and algorithms for image processing and computer vision,” IEEE Trans. Acoust. Speech Signal Process., Vol.37, No.12, 1989, pp.2158 2174. https://doi.org/10.1109/29.45558
- R. Miller and Q. F. Stout, “Data movement techniques for the pyramid computer,” SIAM J. Comput., Vol.16, No.1, 1987, pp.38-60. https://doi.org/10.1137/0216004
- H. Sarbazi-Azad, M. Ould-Khaoua, and L. M. Mackenzie, “Algorithmic construction of Hamiltonians in pyramids,” Inform. Process. Lett., Vol.80, No.2, 2001, pp.75-79. https://doi.org/10.1016/S0020-0190(01)00149-1
- D. –R. Dui, Y. -C. Chen, and R. –Y. Wu, “Proof that pyramid networks are 1 Hamiltonian-connected with high probability,” Information Sciences, Vol.177, No.24, 2007, pp.4188-4199. https://doi.org/10.1016/j.ins.2007.03.013
- R. –Y. Wu and D. -R. Duh, “Hamiltonicity of the pyramid network with or without fault,” Journal of Information Science and Engineering, Vol.25, 2009, pp.531-542.
- F. Cao, D. Z. Du, D. F. Hsu, and S. H. Teng, “Fault tolerance properties of pyramid networks,” IEEE Trans. Comput., Vol.48, No.1, 1999, pp.88-93. https://doi.org/10.1109/12.743415
- J. S. -T. Juan and C. -M. Huang, “On the strong distance problems of pyramid networks,” Applied Mathematics and Computation, Vol.195, 2008, pp.154-161. https://doi.org/10.1016/j.amc.2007.04.076
- K. W. Tang and S. A. Padubidri, “Diagonal and toroidal mesh networks,” IEEE Trans. Comput, Vol.43, No.7, 1994, pp.815-826. https://doi.org/10.1109/12.293260
- Y. -C. Chen, D. -R. Duh and H. -J. Hsieh, “On the enhanced pyramid network,” Proc. 2004 International Conference on Parallel and Distributed Processing Techniques and Applications, Las Vegas, Nevada, 2004, pp.1483-1489.
- Y. -C. Chen and D. -R. Duh, “Proof that enhanced pyramid networks are 2-edge-Hamiltonicity,” Proc. The 23rd Workshop on Combinatorial Mathematics and Computation Theory, Las Vegas, Nevada, 2006, pp.76-84.
- Y. -C. Chen and D. -R. Duh, “An optimal broadcasting algorithm for the enhanced pyramid network,” Proc. The 22nd Workshop on Combinatorial Mathematics and Computation Theory, National Cheng Kung University, Taiwan, 2005, pp.206-211.
- A. Caruso, S. Chessa, P. Maestrini, and P. Santi, “Fault-diagnosis of grid structures,” Theoretical Computer Science, Vol.290, No.2, 2003, pp.1149-1174. https://doi.org/10.1016/S0304-3975(01)00200-6