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- W2071456904 abstract "The firing squad synchronization problem (FSSP) on cellular automata has been studied extensively for more than forty years, and a rich variety of synchronization algorithms have been proposed for not only one-dimensional arrays but two-dimensional arrays. In the present paper, we propose a simple recursive-halving based optimum-time synchronization algorithm that can synchronize any rectangle arrays of size m*n with a general at one corner in m+n+max(m, n)-3 steps. The algorithm is a natural expansion of the well-known FSSP algorithm proposed by Balzer [1967], Gerken [1987], and Waksman [1966] and it can be easily expanded to three-dimensional arrays, even to multi-dimensional arrays with a general at any position of the array." @default.
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- W2071456904 date "2012-08-13" @default.
- W2071456904 modified "2023-09-30" @default.
- W2071456904 title "A Simple Optimum-Time FSSP Algorithm for Multi-Dimensional Cellular Automata" @default.
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- W2071456904 doi "https://doi.org/10.4204/eptcs.90.13" @default.
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