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A note on broadcasting with linearly bounded transmission faults in constant degree networks

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1279))

Abstract

We consider the problem of broadcasting in the presence of linearly bounded number of transient faults. For some fixed 0 < α < 1 we assume that at most ai faulty transmissions can occur during the first i time units of the broadcasting algorithm execution, for every natural i. In a unit of time every node can communicate with at most one neighbor. We prove that some bounded degree networks are robust with respect to linearly bounded transmission faults for any 0 < α < 1, and give examples of such networks with logarithmic broadcast time, thus solving the open problem from [3].

Supported by the grant KBN 8T11C01208.

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References

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Bogdan S. Chlebus Ludwik Czaja

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© 1997 Springer-Verlag Berlin Heidelberg

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Ciebiera, K., Malinowski, A. (1997). A note on broadcasting with linearly bounded transmission faults in constant degree networks. In: Chlebus, B.S., Czaja, L. (eds) Fundamentals of Computation Theory. FCT 1997. Lecture Notes in Computer Science, vol 1279. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036179

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  • DOI: https://doi.org/10.1007/BFb0036179

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63386-0

  • Online ISBN: 978-3-540-69529-5

  • eBook Packages: Springer Book Archive

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