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| Wenjun Xiao, Wenhong Wei, Weidong Chen, Mingxin He, Behrooz Parhami, "Comments on "Low Diameter Interconnections for Routing in High-Performance Parallel Systems," with Connections and Extensions to Arc Coloring of Coset Graphs," IEEE Transactions on Computers, vol. 57, no. 12, pp. 1726-1728, December, 2008. | |||
| BibTex | x | ||
| @article{ 10.1109/TC.2008.164, author = {Wenjun Xiao and Wenhong Wei and Weidong Chen and Mingxin He and Behrooz Parhami}, title = {Comments on "Low Diameter Interconnections for Routing in High-Performance Parallel Systems," with Connections and Extensions to Arc Coloring of Coset Graphs}, journal ={IEEE Transactions on Computers}, volume = {57}, number = {12}, issn = {0018-9340}, year = {2008}, pages = {1726-1728}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2008.164}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - Comments on "Low Diameter Interconnections for Routing in High-Performance Parallel Systems," with Connections and Extensions to Arc Coloring of Coset Graphs IS - 12 SN - 0018-9340 SP1726 EP1728 EPD - 1726-1728 A1 - Wenjun Xiao, A1 - Wenhong Wei, A1 - Weidong Chen, A1 - Mingxin He, A1 - Behrooz Parhami, PY - 2008 KW - Interconnection architectures KW - MIMD processors KW - Parallel processors KW - Interprocessor communications VL - 57 JA - IEEE Transactions on Computers ER - | |||
[1] S.B. Akers and B. Krishnamurthy, “A Group Theoretic Model for Symmetric Interconnection Networks,” IEEE Trans. Computers, vol. 38, pp.555-566, 1989.
[2] F. Annexstein, M. Baumslag, and A.L. Rosenberg, “Group Action Graphs and Parallel Architectures,” SIAM J. Computing, vol. 19, pp. 544-569, 1990.
[3] D. Barth and M.C. Heydemann, “A New Digraph Composition with Applications to de Bruijn and Generalized de Bruijn Graphs,” Discrete Applied Math., vol. 77, pp. 99-118, 1997.
[4] N. Biggs, Algebraic Graph Theory. Cambridge Univ. Press, 1993.
[5] M. Espona and O. Serra, “Cayley Digraphs Based on the de Bruijn Networks,” SIAM J. Discrete Math., vol. 11, pp. 305-317, 1998.
[6] M. Heydemann, “Cayley Graphs and Interconnection Networks,” Graph Symmetry: Algebraic Methods and Applications, G. Hahn and G. Sabidussi, eds., pp. 167-224, 1997.
[7] M. Imase and M. Itoh, “Design to Minimize a Diameter on Building Block Network,” IEEE Trans. Computers, vol. 30, pp. 439-443, 1981.
[8] Y. Kikuchi and Y. Shibata, “On the Domination Numbers of Generalized de Bruijn Digraphs and Generalized Kautz Digraphs,” Information Processing Letters, vol. 86, pp. 79-85, 2003.
[9] F.T. Leighton, Introduction to Parallel Algorithms and Architectures: Arrays, Trees, Hypercubes. Morgan Kaufmann, 1992.
[10] R. Melhem, “Low Diameter Interconnections for Routing in High-Performance Parallel Systems,” IEEE Trans. Computers, vol. 56, pp. 502-510, 2007.
[11] F.G. Nocetti, I. Stojmenovic, and J. Zhang, “Addressing and Routing in Hexagonal Networks with Applications for Tracking Mobile Users and Connection Rerouting in Cellular Networks,” IEEE Trans. Parallel and Distributed Systems, vol. 13, pp. 963-971, 2002.
[12] B. Parhami, Introduction to Parallel Processing: Algorithms and Architectures. Plenum, 1999.
[13] B. Parhami and D.M. Kwai, “A Unified Formulation of Honeycomb and Diamond Networks,” IEEE Trans. Parallel and Distributed Systems, vol. 12, pp. 74-80, 2001.
[14] I. Stojmenovic, “Honeycomb Networks: Topological Properties and Communication Algorithms,” IEEE Trans. Parallel and Distributed Systems, vol. 8, pp. 1036-1042 1997
[15] A. Vietri, “The Complexity of Arc-Colorings for Directed Hypergraphs,” Discrete Applied Math., vol. 143, pp. 266-271, 2004.
[16] W.J. Xiao and B. Parhami, “Some Mathematical Properties of Cayley Digraphs with Applications to Interconnection Network Design,” Int'l J. Computer Math., vol. 82, pp. 521-528, 2005.
[17] W.J. Xiao and B. Parhami, “Further Mathematical Properties of Cayley Digraphs Applied to Hexagonal and Honeycomb Meshes,” Discrete Applied Math., vol. 155, pp. 1752-1760, 2007.
[18] M.-Y. Xu, “Automorphism Groups and Isomorphisms of Cayley Digraphs,” Discrete Math., vol. 182, pp. 309-319, 1998.

