Title
Set partitions with restrictions
Abstract
Based on finite set partitions, we introduce restrictions to the distances among the elements in each part and refine the Stirling numbers of the second kind with an extra parameter in two different ways. Combinatorial approach through distributions of ''balls into boxes'' is employed to establish explicit formulae.
Year
DOI
Venue
2008
10.1016/j.disc.2007.06.041
Discrete Mathematics
Keywords
Field
DocType
set partitions,secondary,stirling number of the second kind,05a15,primary,principle of inclusion and exclusion,05a05,stirling number
Discrete mathematics,Combinatorics,Explicit formulae,Finite set,Ball (bearing),Stirling number,Inclusion–exclusion principle,Distribution function,Stirling numbers of the second kind,Mathematics
Journal
Volume
Issue
ISSN
308
15
Discrete Mathematics
Citations 
PageRank 
References 
9
1.09
1
Authors
2
Name
Order
Citations
PageRank
Wenchang Chu17720.68
Chuanan Wei2207.98