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

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4739))

Abstract

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.

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Roberto Moreno Díaz Franz Pichler Alexis Quesada Arencibia

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© 2007 Springer-Verlag Berlin Heidelberg

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Umeo, H., Uchino, H. (2007). A New Time-Optimum Synchronization Algorithm for Two-Dimensional Cellular Arrays. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_76

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  • DOI: https://doi.org/10.1007/978-3-540-75867-9_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75866-2

  • Online ISBN: 978-3-540-75867-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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