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.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
J.A. Aslam and A. Dhagat, Searching in the presence of linearly bounded errors, Proc. of the 23rd Annual ACM Symposium on Theory of Computing (1991), 486–493.
B.S. Chlebus, K. Diks and A. Pelc, Broadcasting in synchronous networks with dynamic faults, Networks 27 (1996), 309–318.
L. Gasieniec and A. Pelc, Broadcasting with linearly bounded transmission faults, Disc. Appl. Math., to appear.
A. Pelc, Fault-tolerant broadcasting and gossiping in communication networks, Networks 28 (1996), 143–156.
A. Pelc, Searching with known error probability, Theoretical Computer Science 63 (1989), 185–202. *** DIRECT SUPPORT *** A0008123 00005
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0036179
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63386-0
Online ISBN: 978-3-540-69529-5
eBook Packages: Springer Book Archive