A Gray code for set partitions (Q1239129)
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scientific article; zbMATH DE number 3557656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Gray code for set partitions |
scientific article; zbMATH DE number 3557656 |
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A Gray code for set partitions (English)
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1976
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A Gray code for the set of partitions of \(\{1,\ldots,n\}\) is an ordered list of the partitions with the property that any partition is obtained from its predecessor by moving one letter. The author gives two constructions for such a Gray code, one recursive, the other direct. An algorithm for the second construction is given; it has the property that the average work per partition is bounded independent of \(n\).
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