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An efficient fault-containing self-stabilizing algorithm for finding a maximal independent set

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2 Author(s)
Ji-Cherng Lin ; Dept. of Comput. Eng. & Sci., Yuan-Ze Univ., Chung-li, Taiwan ; Huang, T.C.

An independent set is a useful structure because, in some situations, it defines a set of mutually compatible operations, i.e., operations that can be executed simultaneously. We design a fault-containing self-stabilizing algorithm that finds a maximal independent set for an asynchronous distributed system. Our algorithm is an improvement on the self-stabilizing algorithm in Shukla et al. [1995]. In the single-fault situation, the worst-case stabilization time of Shukla's algorithm is Ω(n), where n is the number of nodes in the system, whereas the worst-case stabilization time of our algorithm is O(Δ), where Δ is the maximum node degree in the system. Compared also with the fault-containing algorithm that is induced from applying the general transformer in Ghosh et al. [1996] to Shukla's algorithm, our algorithm is also seen to be faster in stabilization time, in the single-fault situation. Therefore, our algorithm can be considered to be the most efficient fault-containing self-stabilizing algorithm for the maximal independent set finding up to this point.

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:14 ,  Issue: 8 )