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A Simple Optimum-Time FSSP Algorithm for Multi-Dimensional Cellular Automata

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Academic year: 2017

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Figure 1: A two-dimensional (2D) cellular automaton.
Figure 2 (left) shows a space-time diagram for the marking. At time t = 0, the leftmost cell C 1 gener- gener-ates an infinite set of signals w 1 , w 2 , ..., w k , .., each propagating in the right direction at 1/(2 k −1) speed,
Figure 2: Space-time diagram for recursive-halving marking on 1D array of length n (left) and some snapshots for the marking on 42 (middle) and 71 (right) cells, respectively.
Figure 3: Space-time diagram for synchronizing a cellular space with recursive-halving marking (left) and some snapshots for the synchronization on 17 (middle) and 32 (right) cells, respectively.
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