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Projective torus networks

  • Session 13: Parallel and Distributed Computing II
  • Conference paper
  • First Online:
Computing and Combinatorics (COCOON 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1276))

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Abstract

We propose a topology for interconnection networks, called projective torus, arising from 1-edge fault tolerance concern for tori. Shortest path routing and various diameters on projective tori are shown to be better than meshes and tori. Furthermore, wire layout for edges in a projective torus is also presented. It shows that wire length of an edge is bounded by a small constant.

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References

  1. Bondy, J.A. and Murty, U.S.R.: Graph Theory with Applications. Elsevier Science Publishing, New York, (1976).

    Google Scholar 

  2. Chou, R.S. and Hsu, L.H.: 1-edge fault-tolerant designs for meshes. Parallel Processing Letters, 4 (1994) 385–389.

    Google Scholar 

  3. Harary, F. and Hayes, J.P.: Edge fault tolerance in graphs. Networks. 23 (1993) 135–142.

    Google Scholar 

  4. Hsu, L.H., Wang, S.Y. and Sung, T.Y.: Faithful 1-edge fault tolerant graphs, manuscript. accepted by Information Processing Letters. (1996).

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  5. Leighton, F.T.: Introduction to Parallel Algorithms and Architectures: Arrays — Trees — Hypercubes. Morgan Kaufmann Publishers, San Mateo, CA, (1992).

    Google Scholar 

  6. Tang, K.W. and Padubidri, S.A.: Diagonal and toroidal mesh networks. IEEE Trans. Computers. 43 (1994) 815–826.

    Google Scholar 

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Tao Jiang D. T. Lee

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© 1997 Springer-Verlag Berlin Heidelberg

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Sung, TY., Hoe, TY., Hsu, LH. (1997). Projective torus networks. In: Jiang, T., Lee, D.T. (eds) Computing and Combinatorics. COCOON 1997. Lecture Notes in Computer Science, vol 1276. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0045112

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  • DOI: https://doi.org/10.1007/BFb0045112

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63357-0

  • Online ISBN: 978-3-540-69522-6

  • eBook Packages: Springer Book Archive

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