TY - GEN

T1 - Optimal broadcasting in faulty hypercubes

AU - Chlebus, Bogdan S.

AU - Diks, Krzysztof

AU - Pelc, Andrzej

PY - 1991/6/1

Y1 - 1991/6/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026172385&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026172385&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026172385

SN - 0818621508

T3 - Digest of Papers - FTCS (Fault-Tolerant Computing Symposium)

SP - 266

EP - 273

BT - 91 Fault-Tolerant Comput. Symp.

PB - Publ by IEEE

T2 - 21st International Symposium on Fault-Tolerant Computing

Y2 - 25 June 1991 through 27 June 1991

ER -