A New Time-Optimum Synchronization Algorithm for Two-Dimensional Cellular Arrays

摘要

The firing squad synchronization problem on cellular automata has been studied extensively for more than forty years, and a rich variety of synchronization algorithms have been proposed so far. In the present paper, we propose a new optimum-time algorithm for synchronizing two-dimensional cellular automata. The algorithm can synchronize any rectangular array of size m × n in optimum m + n + max(m, n) - 3 steps.