Abstract | ||
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Abstract The asymptotic behavior of the number of set partitions of an n - element set into blocks of distinct sizes is determined This behavior is more complicated than is typical for set par - tition problems Although there is a simple generating function, the usual analytic methods for estimating coe cients fail in the direct approach, and elementary approaches combined with some analytic methods are used to obtain most of the results Simultaneously, we obtain results on the shape of a random partition of an n - element set into blocks of distinct sizes Mathematics Subject Classi cation (1991): 05A18, 05A16 |
Year | Venue | Keywords |
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1999 | Electr. J. Comb. | generating function |
DocType | Volume | Citations |
Journal | 6 | 3 |
PageRank | References | Authors |
0.66 | 5 | 7 |
Name | Order | Citations | PageRank |
---|---|---|---|
Arnold Knopfmacher | 1 | 117 | 22.85 |
Andrew M. Odlyzko | 2 | 1286 | 413.71 |
BORIS PITTEL | 3 | 621 | 135.03 |
L. Bruce Richmond | 4 | 276 | 52.87 |
Dudley Stark | 5 | 92 | 17.46 |
G. Szekeres | 6 | 3 | 0.66 |
Nicholas C. Wormald | 7 | 1506 | 230.43 |