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 αi 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 Ga̧sieniec and Pelc (1998). We also show that our broadcasting algorithm is asymptotically optimal in terms of message complexity.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
