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A fault tolerant broadcast scheme in star graphs

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Advances in Computing Science — ASIAN'97 (ASIAN 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1345))

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Abstract

In this paper, we propose a simple and nonadaptive fault tolerant broadcast scheme in star graphs under the single-port communication model. The proposed scheme can tolerate up to -n - 2 vertex and/or edge faults in the star graph with n! vertices, and in the fullduplex communication mode, it takes at most 4n - 3 more time units than an optimal nonadaptive broadcast scheme.

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References

  1. S. B. Akers and B. Krishnamurthy. A group-theoretic model for symmetric interconnection networks. IEEE Trans. Comput., 38(4):555–566, April 1989.

    Article  Google Scholar 

  2. S. G. Akl and K. Qiu. Fundamental algorithms for the star and pancake interconnection networks with applications to computational geometry. Networks, 23:215–225,1993.

    Google Scholar 

  3. S. G. Akl and K. Qiu. A novel routing scheme on the star and pancake networks and its applications. Parallel Computing, 19:95–101, 1993.

    Article  Google Scholar 

  4. N. Bagherzadeh, N. Nassif, and S. Latifi. A routing and broadcasting scheme on faulty star graphs. IEEE Trans. Comput., 42(11):1398–1403, November 1993.

    Article  Google Scholar 

  5. P. Fragopoulou and S. G. Akl. Optimal communication algorithms on star graphs using spanning tree constructions. Journal of Parallel and Distributed Computing, 24:55–71,1995.

    Article  Google Scholar 

  6. P. Fragopoulou and S. G. Akl. Edge-disjoint spanning trees on the star network with applications to fault tolerance. IEEE Trans. Comput., 45(2):174–185, February 1996.

    Article  Google Scholar 

  7. Y. Hamada, A. Mei, F. Bao, and Y. Igarashi. Broadcasting in star graphs with byzantine failures. Technical Report of IEICE, COMP96-27:47–56, July 1996.

    Google Scholar 

  8. S. Latifi. On the fault-diameter of the star graph. Inform. Process. Lett., 46:143–150, June 1993.

    Article  Google Scholar 

  9. L.Gargano, U. Vaccaro, and A. Vozella. Fault tolerant routing in the star and pancake interconnection networks. Inform. Process. Lett., 45:315–320, April 1993.

    Article  Google Scholar 

  10. A. Mei, F. Bao, Y. Hamada, and Y. Igarashi. Optimal time broadcasting in faulty star networks. In Proc. WDAG'96, LNCS 1151, pp.175–190, 1996.

    Google Scholar 

  11. V. E. Mendia and D. Sarkar. Optimal broadcasting in the star graph. IEEE Trans. Parallel and Distributed Systems, 3:389–396, July 1992.

    Article  Google Scholar 

  12. A. Pelc. Reliable communication in networks with Byzantine link failures. Networks, 22:441–459, 1992.

    Google Scholar 

  13. Y. Rouskov and P. K. Srimani. Fault diameter of star graphs. Inform. Process. Lett., 48:243–251, 1993.

    Article  Google Scholar 

  14. J.-P. Sheu, C.-T. Liaw, and T.-S. Chen. A broadcasting algorithm in star graph interconnection networks. Inform. Process. Lett., 48:237–241, 1993.

    Article  MathSciNet  Google Scholar 

  15. J. P. Sheu, C.-T. Liaw, and T.-S. Chen. An optimal broadcasting algorithm without message redundancy in star graphs. IEEE Trans. Parallel and Distributed Systems, 6(6), June 1995.

    Google Scholar 

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R. K. Shyamasundar K. Ueda

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© 1997 Springer-Verlag Berlin Heidelberg

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Fujita, S. (1997). A fault tolerant broadcast scheme in star graphs. In: Shyamasundar, R.K., Ueda, K. (eds) Advances in Computing Science — ASIAN'97. ASIAN 1997. Lecture Notes in Computer Science, vol 1345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63875-X_61

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  • DOI: https://doi.org/10.1007/3-540-63875-X_61

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63875-9

  • Online ISBN: 978-3-540-69658-2

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