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.
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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 -