Optimal broadcasting in faulty hypercubes

Bogdan S. Chlebus, Krzysztof Diks, Andrzej Pelc

Research output: Chapter in Book/Report/Conference proceedingConference contribution

19 Scopus citations

Abstract

The problem of broadcasting information in an n-node hypercube in which links fail independently with fixed probability 0 < p < 1 is considered. Information originally held by one node has to be disseminated throughout the network. Messages can be transmitted along links, and in a unit of time every node can transmit to at most one neighbor. Transmissions via faulty links do not succeed. A broadcasting algorithm that disseminates information throughout the whole network in time a log n with probability exceeding 1 - bn-c with positive constants a,b,c depending on p, provided that p ≤ 9%, is developed. The algorithm works in expected time O(log n) using an expected number of transmissions O(n), and the probability of disseminating information throughout the network converges to 1 as n grows.

Original languageEnglish (US)
Title of host publication91 Fault-Tolerant Comput. Symp.
PublisherPubl by IEEE
Pages266-273
Number of pages8
ISBN (Print)0818621508
StatePublished - Jun 1 1991
Externally publishedYes
Event21st International Symposium on Fault-Tolerant Computing - Montreal, Qui, Can
Duration: Jun 25 1991Jun 27 1991

Publication series

NameDigest of Papers - FTCS (Fault-Tolerant Computing Symposium)
ISSN (Print)0731-3071

Conference

Conference21st International Symposium on Fault-Tolerant Computing
CityMontreal, Qui, Can
Period6/25/916/27/91

ASJC Scopus subject areas

  • Hardware and Architecture

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  • Cite this

    Chlebus, B. S., Diks, K., & Pelc, A. (1991). Optimal broadcasting in faulty hypercubes. In 91 Fault-Tolerant Comput. Symp. (pp. 266-273). (Digest of Papers - FTCS (Fault-Tolerant Computing Symposium)). Publ by IEEE.