| Presentation | 2008-12-03 A Simple Generation of Multi-dimensional Partitions Yosuke KIKUCHI, Katsuhisa YAMANAKA, Shin-ichi NAKANO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper gives a simple algorithm to generate all multi-dimensional partitions of a positive integer N. The problem is one of the basic problems in combinatorics, and it includes generations of integer partitions and plane partitions. For a given integer d as dimension, our algorithm generates each partition of a given integer in O(d) time for each without repetition. The known algorithm is complicated and includes many "goto" statements, while our algorithm is simple and efficient. Also, we propose an algorithm to generate all exactly d-dimensional partition in O(d) time for each. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | algorithm / generation / multi-dimensional partition / family tree |
| Paper # | COMP2008-49 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2008/11/26(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (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) | A Simple Generation of Multi-dimensional Partitions |
| Sub Title (in English) | |
| Keyword(1) | algorithm |
| Keyword(2) | generation |
| Keyword(3) | multi-dimensional partition |
| Keyword(4) | family tree |
| 1st Author's Name | Yosuke KIKUCHI |
| 1st Author's Affiliation | Department of Electronics and Computer Engineering, Tsuyama National College of Technology() |
| 2nd Author's Name | Katsuhisa YAMANAKA |
| 2nd Author's Affiliation | Graduate School of Information Systems, The University of Electro-Communications |
| 3rd Author's Name | Shin-ichi NAKANO |
| 3rd Author's Affiliation | Graduate School of Computer Science, Gunma University |
| Date | 2008-12-03 |
| Paper # | COMP2008-49 |
| Volume (vol) | vol.108 |
| Number (no) | 330 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |