Presentation | 2012-10-31 Synchronizing Multi-Dimensional Cellular Automata in Optimum-Time Hiroshi UMEO, Kinuo NISHIDE, Keisuke KUBO, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | 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 algorithms 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. The algorithm proposed is isotropic concerning the side-lengths of multi-dimensional arrays and its algorithmic correctness is transparent and easily verified. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | firing squad synchronization problem / FSSP / cellular automata |
Paper # | COMP2012-35 |
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Committee | COMP |
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Conference Date | 2012/10/24(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Theoretical Foundations of Computing (COMP) |
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Language | ENG |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Synchronizing Multi-Dimensional Cellular Automata in Optimum-Time |
Sub Title (in English) | |
Keyword(1) | firing squad synchronization problem |
Keyword(2) | FSSP |
Keyword(3) | cellular automata |
1st Author's Name | Hiroshi UMEO |
1st Author's Affiliation | Faculty of Engineering, University of Osaka Electro-Communication() |
2nd Author's Name | Kinuo NISHIDE |
2nd Author's Affiliation | Faculty of Engineering, University of Osaka Electro-Communication |
3rd Author's Name | Keisuke KUBO |
3rd Author's Affiliation | Faculty of Engineering, University of Osaka Electro-Communication |
Date | 2012-10-31 |
Paper # | COMP2012-35 |
Volume (vol) | vol.112 |
Number (no) | 272 |
Page | pp.pp.- |
#Pages | 6 |
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