Title
The Asymptotic Number of Set Partitions with Unequal Block Sizes
Abstract
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
1999
Electr. J. Comb.
generating function
DocType
Volume
Citations 
Journal
6
3
PageRank 
References 
Authors
0.66
5
7
Name
Order
Citations
PageRank
Arnold Knopfmacher111722.85
Andrew M. Odlyzko21286413.71
BORIS PITTEL3621135.03
L. Bruce Richmond427652.87
Dudley Stark59217.46
G. Szekeres630.66
Nicholas C. Wormald71506230.43