A further study on weak Byzantine gathering of mobile agents

The gathering of mobile agents in the presence of Byzantine faults is first studied by Dieudonné et al. Authors provide a polynomial time algorithm handling any number of weak Byzantine agents in the presence of at least one good agent considering start-up delays, i.e., the good agents may not wake...

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Vydáno v:Theoretical computer science Ročník 1022; s. 114892
Hlavní autoři: Saxena, Ashish, Mondal, Kaushik
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 29.12.2024
Témata:
Anonymous graphs
Byzantine faults
Deterministic algorithm
Gathering
Mobile agents
Byzantine faults
Gathering
Deterministic algorithm
Anonymous graphs
Mobile agents
ISSN:0304-3975
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Shrnutí:The gathering of mobile agents in the presence of Byzantine faults is first studied by Dieudonné et al. Authors provide a polynomial time algorithm handling any number of weak Byzantine agents in the presence of at least one good agent considering start-up delays, i.e., the good agents may not wake up at the same time. Hirose et al. [1] come up with an algorithm considering start-up delays that use a strong team of at least 4f2+8f+4 many good agents but runs much faster than that of Dieudonné et al. Later, Hirose et al. [2] provided another polynomial time algorithm for gathering in the presence of at least 7f+7 good agents. This algorithm works considering start-up delay and achieves simultaneous termination. However, this algorithm depends on the length of the largest ID in the system. We, in this work, provide an algorithm considering start-up delays of the good agents, reducing the number of good agents w.r.t. [1] to f2+4f+9, and good agents achieve simultaneous termination. Our algorithm runs faster than [2] when the ID range of the good agents is significantly smaller in comparison to the ID range of all the agents. We also provide a much faster O(n2) time algorithm for trees using 3f+2 agents handling start-up delays and guaranteeing simultaneous termination on a restricted ID range.
ISSN:0304-3975
DOI:10.1016/j.tcs.2024.114892