Benchmarking of algorithms for set partitions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910007799316480 |
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| author | Khinvasara, Arnav Pikovski, Alexander |
| author_facet | Khinvasara, Arnav Pikovski, Alexander |
| contents | Set partitions are arrangements of distinct objects into groups. The problem of listing all set partitions arises in a variety of settings, in particular in combinatorial optimization tasks. After a brief review, we give practical approximate formulas for determining the number of set partitions, both for small and large set sizes. Several algorithms for enumerating all set partitions are reviewed, and benchmarking tests were conducted. The algorithm of Djokic et al. is recommended for practical use. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01350 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Benchmarking of algorithms for set partitions Khinvasara, Arnav Pikovski, Alexander Data Structures and Algorithms Discrete Mathematics Software Engineering Combinatorics 05A18, 05A15, 68R05, 90C27 F.2; G.2.1; F.2; G.2.2 Set partitions are arrangements of distinct objects into groups. The problem of listing all set partitions arises in a variety of settings, in particular in combinatorial optimization tasks. After a brief review, we give practical approximate formulas for determining the number of set partitions, both for small and large set sizes. Several algorithms for enumerating all set partitions are reviewed, and benchmarking tests were conducted. The algorithm of Djokic et al. is recommended for practical use. |
| title | Benchmarking of algorithms for set partitions |
| topic | Data Structures and Algorithms Discrete Mathematics Software Engineering Combinatorics 05A18, 05A15, 68R05, 90C27 F.2; G.2.1; F.2; G.2.2 |
| url | https://arxiv.org/abs/2602.01350 |