Reliable Broadcasting in Logarithmic Time with Byzantine Link Failures

Piotr Berman; Krzysztof Diks; Andrzej Pelc

doi:10.1006/jagm.1996.0810

Reliable Broadcasting in Logarithmic Time with Byzantine Link Failures

Piotr Berman, Krzysztof Diks, Andrzej Pelc

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Broadcasting is a process of transmitting a message held in one node of a communication network to all other nodes. Links of the network are subject to randomly and independently distributed faults with probability 0 < q < 1/2; faults are permanent and Byzantine, while all nodes are fault-free. In a unit of time, each node can communicate with at most one other node. We present a broadcasting algorithm which works for n nodes in time O(log n) with probability of correctness exceeding 1 - 1/n, for sufficiently large n.

Original language	English (US)
Pages (from-to)	199-211
Number of pages	13
Journal	Journal of Algorithms
Volume	22
Issue number	2
DOIs	https://doi.org/10.1006/jagm.1996.0810
State	Published - Feb 1997

All Science Journal Classification (ASJC) codes

Control and Optimization
Computational Mathematics
Computational Theory and Mathematics

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10.1006/jagm.1996.0810

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abstract = "Broadcasting is a process of transmitting a message held in one node of a communication network to all other nodes. Links of the network are subject to randomly and independently distributed faults with probability 0 < q < 1/2; faults are permanent and Byzantine, while all nodes are fault-free. In a unit of time, each node can communicate with at most one other node. We present a broadcasting algorithm which works for n nodes in time O(log n) with probability of correctness exceeding 1 - 1/n, for sufficiently large n.",

author = "Piotr Berman and Krzysztof Diks and Andrzej Pelc",

note = "Funding Information: * Partly supported by NSERC International Fellowship and Grant KBN 2-2043-92-03. ² Partly supported by NSERC Grant OGP 0008136.",

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AU - Diks, Krzysztof

AU - Pelc, Andrzej

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N2 - Broadcasting is a process of transmitting a message held in one node of a communication network to all other nodes. Links of the network are subject to randomly and independently distributed faults with probability 0 < q < 1/2; faults are permanent and Byzantine, while all nodes are fault-free. In a unit of time, each node can communicate with at most one other node. We present a broadcasting algorithm which works for n nodes in time O(log n) with probability of correctness exceeding 1 - 1/n, for sufficiently large n.

AB - Broadcasting is a process of transmitting a message held in one node of a communication network to all other nodes. Links of the network are subject to randomly and independently distributed faults with probability 0 < q < 1/2; faults are permanent and Byzantine, while all nodes are fault-free. In a unit of time, each node can communicate with at most one other node. We present a broadcasting algorithm which works for n nodes in time O(log n) with probability of correctness exceeding 1 - 1/n, for sufficiently large n.

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Reliable Broadcasting in Logarithmic Time with Byzantine Link Failures

Abstract

All Science Journal Classification (ASJC) codes

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