Paper Abstract and Keywords |
Presentation |
2004-06-25 11:05
Constant Time Generation of Set Partitions Shin-ichiro Kawano, Shin-ichi Nakano (Gunma Univ.) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper we give a simple algorithm to generate all partitions of {1,2,...,n} into $k$ non-empty subsets. The number of such partitions is known as the Stirling number of the second kind. The algorithm generates each partition in constant time without repetition. By choosing k=1,2,...,n we can also generate all partitions of {1,2,...,n} into subsets. The number of such partitions is known as the Bell number. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
algorithm / enumeration / the Stirling number of the second kind / the Bell number / gray code / / / |
Reference Info. |
IEICE Tech. Rep., vol. 104, no. 147, COMP2004-19, pp. 5-10, June 2004. |
Paper # |
COMP2004-19 |
Date of Issue |
2004-06-18 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
COMP |
Conference Date |
2004-06-25 - 2004-06-25 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
NTT CSLab Atsugi |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Computation Theory, etc |
Paper Information |
Registration To |
COMP |
Conference Code |
2004-06-COMP |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Constant Time Generation of Set Partitions |
Sub Title (in English) |
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algorithm |
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enumeration |
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the Stirling number of the second kind |
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the Bell number |
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gray code |
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1st Author's Name |
Shin-ichiro Kawano |
1st Author's Affiliation |
Gunma University (Gunma Univ.) |
2nd Author's Name |
Shin-ichi Nakano |
2nd Author's Affiliation |
Gunma University (Gunma Univ.) |
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Speaker |
Author-1 |
Date Time |
2004-06-25 11:05:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2004-19 |
Volume (vol) |
vol.104 |
Number (no) |
no.147 |
Page |
pp.5-10 |
#Pages |
6 |
Date of Issue |
2004-06-18 (COMP) |
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